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Finding the Fourth Proportional to 8,257.52, 12,385.88 and 2,710.16

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Solution

The fourth proportional to 8,257.52, 12,385.88 and 2,710.16 is: 4,065.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.52 : 12,385.88 = 2,710.16 : x
  2. Step 2: Convert to fraction form
    8,257.52/12,385.88 = 2,710.16/x
  3. Step 3: Cross multiply
    8,257.52x = 12,385.88 × 2,710.16
  4. Step 4: Simplify right side
    8,257.52x = 33,567,716.54
  5. Step 5: Solve for x
    x = 33,567,716.54/8,257.52
  6. Step 6: Final answer
    x = 4,065.11

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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.