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Finding the Fourth Proportional to 8,766.50, 12,098.25 and 4,787.97

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Solution

The fourth proportional to 8,766.50, 12,098.25 and 4,787.97 is: 6,607.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,766.50 : 12,098.25 = 4,787.97 : x
  2. Step 2: Convert to fraction form
    8,766.50/12,098.25 = 4,787.97/x
  3. Step 3: Cross multiply
    8,766.50x = 12,098.25 × 4,787.97
  4. Step 4: Simplify right side
    8,766.50x = 57,926,058.05
  5. Step 5: Solve for x
    x = 57,926,058.05/8,766.50
  6. Step 6: Final answer
    x = 6,607.66

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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.