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Finding the Fourth Proportional to 8,431.47, 12,647.84 and 2,588.27

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Solution

The fourth proportional to 8,431.47, 12,647.84 and 2,588.27 is: 3,882.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.47 : 12,647.84 = 2,588.27 : x
  2. Step 2: Convert to fraction form
    8,431.47/12,647.84 = 2,588.27/x
  3. Step 3: Cross multiply
    8,431.47x = 12,647.84 × 2,588.27
  4. Step 4: Simplify right side
    8,431.47x = 32,735,948.66
  5. Step 5: Solve for x
    x = 32,735,948.66/8,431.47
  6. Step 6: Final answer
    x = 3,882.59

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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.