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Finding the Fourth Proportional to 11,874.87, 16,387.24 and 6,569.57

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Solution

The fourth proportional to 11,874.87, 16,387.24 and 6,569.57 is: 9,065.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.87 : 16,387.24 = 6,569.57 : x
  2. Step 2: Convert to fraction form
    11,874.87/16,387.24 = 6,569.57/x
  3. Step 3: Cross multiply
    11,874.87x = 16,387.24 × 6,569.57
  4. Step 4: Simplify right side
    11,874.87x = 107,657,120.29
  5. Step 5: Solve for x
    x = 107,657,120.29/11,874.87
  6. Step 6: Final answer
    x = 9,065.96

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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.