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Finding the Fourth Proportional to 8,431.38, 12,648.92 and 2,588.46

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Solution

The fourth proportional to 8,431.38, 12,648.92 and 2,588.46 is: 3,883.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.38 : 12,648.92 = 2,588.46 : x
  2. Step 2: Convert to fraction form
    8,431.38/12,648.92 = 2,588.46/x
  3. Step 3: Cross multiply
    8,431.38x = 12,648.92 × 2,588.46
  4. Step 4: Simplify right side
    8,431.38x = 32,741,223.46
  5. Step 5: Solve for x
    x = 32,741,223.46/8,431.38
  6. Step 6: Final answer
    x = 3,883.26

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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.