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Finding the Fourth Proportional to 8,829.57, 13,246.17 and 2,589.78

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Solution

The fourth proportional to 8,829.57, 13,246.17 and 2,589.78 is: 3,885.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,829.57 : 13,246.17 = 2,589.78 : x
  2. Step 2: Convert to fraction form
    8,829.57/13,246.17 = 2,589.78/x
  3. Step 3: Cross multiply
    8,829.57x = 13,246.17 × 2,589.78
  4. Step 4: Simplify right side
    8,829.57x = 34,304,666.14
  5. Step 5: Solve for x
    x = 34,304,666.14/8,829.57
  6. Step 6: Final answer
    x = 3,885.20

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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.