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Finding the Fourth Proportional to 10,677.71, 16,024.43 and 5,134.25

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Solution

The fourth proportional to 10,677.71, 16,024.43 and 5,134.25 is: 7,705.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677.71 : 16,024.43 = 5,134.25 : x
  2. Step 2: Convert to fraction form
    10,677.71/16,024.43 = 5,134.25/x
  3. Step 3: Cross multiply
    10,677.71x = 16,024.43 × 5,134.25
  4. Step 4: Simplify right side
    10,677.71x = 82,273,429.73
  5. Step 5: Solve for x
    x = 82,273,429.73/10,677.71
  6. Step 6: Final answer
    x = 7,705.16

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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.