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Finding the Fourth Proportional to 10,934,463.80, 16,401,695.70 and 5,253,318.20

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Solution

The fourth proportional to 10,934,463.80, 16,401,695.70 and 5,253,318.20 is: 7,879,977.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,934,463.80 : 16,401,695.70 = 5,253,318.20 : x
  2. Step 2: Convert to fraction form
    10,934,463.80/16,401,695.70 = 5,253,318.20/x
  3. Step 3: Cross multiply
    10,934,463.80x = 16,401,695.70 × 5,253,318.20
  4. Step 4: Simplify right side
    10,934,463.80x = 86,163,326,531,671.73
  5. Step 5: Solve for x
    x = 86,163,326,531,671.73/10,934,463.80
  6. Step 6: Final answer
    x = 7,879,977.30

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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.