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Finding the Fourth Proportional to 10,472.67, 15,704.91 and 3,895.28

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Solution

The fourth proportional to 10,472.67, 15,704.91 and 3,895.28 is: 5,841.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.67 : 15,704.91 = 3,895.28 : x
  2. Step 2: Convert to fraction form
    10,472.67/15,704.91 = 3,895.28/x
  3. Step 3: Cross multiply
    10,472.67x = 15,704.91 × 3,895.28
  4. Step 4: Simplify right side
    10,472.67x = 61,174,943.30
  5. Step 5: Solve for x
    x = 61,174,943.30/10,472.67
  6. Step 6: Final answer
    x = 5,841.39

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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.