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Finding the Fourth Proportional to 10,976,462.60, 16,464,693.90 and 3,404,193.80

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Solution

The fourth proportional to 10,976,462.60, 16,464,693.90 and 3,404,193.80 is: 5,106,290.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,976,462.60 : 16,464,693.90 = 3,404,193.80 : x
  2. Step 2: Convert to fraction form
    10,976,462.60/16,464,693.90 = 3,404,193.80/x
  3. Step 3: Cross multiply
    10,976,462.60x = 16,464,693.90 × 3,404,193.80
  4. Step 4: Simplify right side
    10,976,462.60x = 56,049,008,893,277.82
  5. Step 5: Solve for x
    x = 56,049,008,893,277.82/10,976,462.60
  6. Step 6: Final answer
    x = 5,106,290.70

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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.