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Finding the Fourth Proportional to 8,862.85, 13,294.32 and 2,288.58

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Solution

The fourth proportional to 8,862.85, 13,294.32 and 2,288.58 is: 3,432.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,862.85 : 13,294.32 = 2,288.58 : x
  2. Step 2: Convert to fraction form
    8,862.85/13,294.32 = 2,288.58/x
  3. Step 3: Cross multiply
    8,862.85x = 13,294.32 × 2,288.58
  4. Step 4: Simplify right side
    8,862.85x = 30,425,114.87
  5. Step 5: Solve for x
    x = 30,425,114.87/8,862.85
  6. Step 6: Final answer
    x = 3,432.88

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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.