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Finding the Fourth Proportional to 8,682.52, 13,025.70 and 2,527

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Solution

The fourth proportional to 8,682.52, 13,025.70 and 2,527 is: 3,791.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682.52 : 13,025.70 = 2,527 : x
  2. Step 2: Convert to fraction form
    8,682.52/13,025.70 = 2,527/x
  3. Step 3: Cross multiply
    8,682.52x = 13,025.70 × 2,527
  4. Step 4: Simplify right side
    8,682.52x = 32,915,943.90
  5. Step 5: Solve for x
    x = 32,915,943.90/8,682.52
  6. Step 6: Final answer
    x = 3,791.06

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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.