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Finding the Fourth Proportional to 10,472.24, 14,452.08 and 6,279.68

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Solution

The fourth proportional to 10,472.24, 14,452.08 and 6,279.68 is: 8,666.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.24 : 14,452.08 = 6,279.68 : x
  2. Step 2: Convert to fraction form
    10,472.24/14,452.08 = 6,279.68/x
  3. Step 3: Cross multiply
    10,472.24x = 14,452.08 × 6,279.68
  4. Step 4: Simplify right side
    10,472.24x = 90,754,437.73
  5. Step 5: Solve for x
    x = 90,754,437.73/10,472.24
  6. Step 6: Final answer
    x = 8,666.19

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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.