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Finding the Fourth Proportional to 8,542.53, 11,787.50 and 4,765.25

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Solution

The fourth proportional to 8,542.53, 11,787.50 and 4,765.25 is: 6,575.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.53 : 11,787.50 = 4,765.25 : x
  2. Step 2: Convert to fraction form
    8,542.53/11,787.50 = 4,765.25/x
  3. Step 3: Cross multiply
    8,542.53x = 11,787.50 × 4,765.25
  4. Step 4: Simplify right side
    8,542.53x = 56,170,301.61
  5. Step 5: Solve for x
    x = 56,170,301.61/8,542.53
  6. Step 6: Final answer
    x = 6,575.37

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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.