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Finding the Fourth Proportional to 8,431.60, 12,646.32 and 2,588.80

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Solution

The fourth proportional to 8,431.60, 12,646.32 and 2,588.80 is: 3,882.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.60 : 12,646.32 = 2,588.80 : x
  2. Step 2: Convert to fraction form
    8,431.60/12,646.32 = 2,588.80/x
  3. Step 3: Cross multiply
    8,431.60x = 12,646.32 × 2,588.80
  4. Step 4: Simplify right side
    8,431.60x = 32,738,793.22
  5. Step 5: Solve for x
    x = 32,738,793.22/8,431.60
  6. Step 6: Final answer
    x = 3,882.87

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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.