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Finding the Fourth Proportional to 8,539.60, 12,787.50 and 7,227.40

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Solution

The fourth proportional to 8,539.60, 12,787.50 and 7,227.40 is: 10,822.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539.60 : 12,787.50 = 7,227.40 : x
  2. Step 2: Convert to fraction form
    8,539.60/12,787.50 = 7,227.40/x
  3. Step 3: Cross multiply
    8,539.60x = 12,787.50 × 7,227.40
  4. Step 4: Simplify right side
    8,539.60x = 92,420,377.50
  5. Step 5: Solve for x
    x = 92,420,377.50/8,539.60
  6. Step 6: Final answer
    x = 10,822.57

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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.