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Finding the Fourth Proportional to 8,589.74, 12,886.23 and 2,744.78

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Solution

The fourth proportional to 8,589.74, 12,886.23 and 2,744.78 is: 4,117.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589.74 : 12,886.23 = 2,744.78 : x
  2. Step 2: Convert to fraction form
    8,589.74/12,886.23 = 2,744.78/x
  3. Step 3: Cross multiply
    8,589.74x = 12,886.23 × 2,744.78
  4. Step 4: Simplify right side
    8,589.74x = 35,369,866.38
  5. Step 5: Solve for x
    x = 35,369,866.38/8,589.74
  6. Step 6: Final answer
    x = 4,117.69

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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.