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Finding the Fourth Proportional to 8,588.25, 12,887.87 and 3,657.92

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Solution

The fourth proportional to 8,588.25, 12,887.87 and 3,657.92 is: 5,489.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,588.25 : 12,887.87 = 3,657.92 : x
  2. Step 2: Convert to fraction form
    8,588.25/12,887.87 = 3,657.92/x
  3. Step 3: Cross multiply
    8,588.25x = 12,887.87 × 3,657.92
  4. Step 4: Simplify right side
    8,588.25x = 47,142,714.70
  5. Step 5: Solve for x
    x = 47,142,714.70/8,588.25
  6. Step 6: Final answer
    x = 5,489.21

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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.