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Finding the Fourth Proportional to 10,865.97, 16,294.10 and 5,024.25

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Solution

The fourth proportional to 10,865.97, 16,294.10 and 5,024.25 is: 7,534.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,865.97 : 16,294.10 = 5,024.25 : x
  2. Step 2: Convert to fraction form
    10,865.97/16,294.10 = 5,024.25/x
  3. Step 3: Cross multiply
    10,865.97x = 16,294.10 × 5,024.25
  4. Step 4: Simplify right side
    10,865.97x = 81,865,606.80
  5. Step 5: Solve for x
    x = 81,865,606.80/10,865.97
  6. Step 6: Final answer
    x = 7,534.13

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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.