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Finding the Fourth Proportional to 10,306.92, 14,216.10 and 6,330.24

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Solution

The fourth proportional to 10,306.92, 14,216.10 and 6,330.24 is: 8,731.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,306.92 : 14,216.10 = 6,330.24 : x
  2. Step 2: Convert to fraction form
    10,306.92/14,216.10 = 6,330.24/x
  3. Step 3: Cross multiply
    10,306.92x = 14,216.10 × 6,330.24
  4. Step 4: Simplify right side
    10,306.92x = 89,991,324.86
  5. Step 5: Solve for x
    x = 89,991,324.86/10,306.92
  6. Step 6: Final answer
    x = 8,731.16

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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.