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Finding the Fourth Proportional to 10,472.17, 14,452.29 and 5,996.53

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Solution

The fourth proportional to 10,472.17, 14,452.29 and 5,996.53 is: 8,275.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.17 : 14,452.29 = 5,996.53 : x
  2. Step 2: Convert to fraction form
    10,472.17/14,452.29 = 5,996.53/x
  3. Step 3: Cross multiply
    10,472.17x = 14,452.29 × 5,996.53
  4. Step 4: Simplify right side
    10,472.17x = 86,663,590.55
  5. Step 5: Solve for x
    x = 86,663,590.55/10,472.17
  6. Step 6: Final answer
    x = 8,275.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.