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Finding the Fourth Proportional to 12,787.11, 17,641.53 and 7,747.70

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Solution

The fourth proportional to 12,787.11, 17,641.53 and 7,747.70 is: 10,688.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,787.11 : 17,641.53 = 7,747.70 : x
  2. Step 2: Convert to fraction form
    12,787.11/17,641.53 = 7,747.70/x
  3. Step 3: Cross multiply
    12,787.11x = 17,641.53 × 7,747.70
  4. Step 4: Simplify right side
    12,787.11x = 136,681,193.77
  5. Step 5: Solve for x
    x = 136,681,193.77/12,787.11
  6. Step 6: Final answer
    x = 10,688.98

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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.