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Finding the Fourth Proportional to 10,935,902.80, 16,403,854.20 and 6,684,374.80

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Solution

The fourth proportional to 10,935,902.80, 16,403,854.20 and 6,684,374.80 is: 10,026,562.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,935,902.80 : 16,403,854.20 = 6,684,374.80 : x
  2. Step 2: Convert to fraction form
    10,935,902.80/16,403,854.20 = 6,684,374.80/x
  3. Step 3: Cross multiply
    10,935,902.80x = 16,403,854.20 × 6,684,374.80
  4. Step 4: Simplify right side
    10,935,902.80x = 109,649,509,637,354.16
  5. Step 5: Solve for x
    x = 109,649,509,637,354.16/10,935,902.80
  6. Step 6: Final answer
    x = 10,026,562.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.