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Finding the Fourth Proportional to 8,257.62, 12,387.64 and 3,875.52

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Solution

The fourth proportional to 8,257.62, 12,387.64 and 3,875.52 is: 5,813.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.62 : 12,387.64 = 3,875.52 : x
  2. Step 2: Convert to fraction form
    8,257.62/12,387.64 = 3,875.52/x
  3. Step 3: Cross multiply
    8,257.62x = 12,387.64 × 3,875.52
  4. Step 4: Simplify right side
    8,257.62x = 48,008,546.57
  5. Step 5: Solve for x
    x = 48,008,546.57/8,257.62
  6. Step 6: Final answer
    x = 5,813.85

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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.