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Finding the Fourth Proportional to 10,443.16, 15,649.92 and 5,502.76

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Solution

The fourth proportional to 10,443.16, 15,649.92 and 5,502.76 is: 8,246.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443.16 : 15,649.92 = 5,502.76 : x
  2. Step 2: Convert to fraction form
    10,443.16/15,649.92 = 5,502.76/x
  3. Step 3: Cross multiply
    10,443.16x = 15,649.92 × 5,502.76
  4. Step 4: Simplify right side
    10,443.16x = 86,117,753.78
  5. Step 5: Solve for x
    x = 86,117,753.78/10,443.16
  6. Step 6: Final answer
    x = 8,246.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.