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Finding the Fourth Proportional to 8,652.50, 12,966.59 and 5,732.82

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Solution

The fourth proportional to 8,652.50, 12,966.59 and 5,732.82 is: 8,591.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,652.50 : 12,966.59 = 5,732.82 : x
  2. Step 2: Convert to fraction form
    8,652.50/12,966.59 = 5,732.82/x
  3. Step 3: Cross multiply
    8,652.50x = 12,966.59 × 5,732.82
  4. Step 4: Simplify right side
    8,652.50x = 74,335,126.48
  5. Step 5: Solve for x
    x = 74,335,126.48/8,652.50
  6. Step 6: Final answer
    x = 8,591.17

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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.