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Finding the Fourth Proportional to 8,329.65, 12,494.46 and 2,781.72

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Solution

The fourth proportional to 8,329.65, 12,494.46 and 2,781.72 is: 4,172.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329.65 : 12,494.46 = 2,781.72 : x
  2. Step 2: Convert to fraction form
    8,329.65/12,494.46 = 2,781.72/x
  3. Step 3: Cross multiply
    8,329.65x = 12,494.46 × 2,781.72
  4. Step 4: Simplify right side
    8,329.65x = 34,756,099.70
  5. Step 5: Solve for x
    x = 34,756,099.70/8,329.65
  6. Step 6: Final answer
    x = 4,172.58

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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.