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Finding the Fourth Proportional to 12,787.56, 17,641.87 and 8,005.57

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Solution

The fourth proportional to 12,787.56, 17,641.87 and 8,005.57 is: 11,044.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,787.56 : 17,641.87 = 8,005.57 : x
  2. Step 2: Convert to fraction form
    12,787.56/17,641.87 = 8,005.57/x
  3. Step 3: Cross multiply
    12,787.56x = 17,641.87 × 8,005.57
  4. Step 4: Simplify right side
    12,787.56x = 141,233,161.10
  5. Step 5: Solve for x
    x = 141,233,161.10/12,787.56
  6. Step 6: Final answer
    x = 11,044.57

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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.