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Finding the Fourth Proportional to 8,152.47, 12,214.94 and 5,229.18

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Solution

The fourth proportional to 8,152.47, 12,214.94 and 5,229.18 is: 7,834.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.47 : 12,214.94 = 5,229.18 : x
  2. Step 2: Convert to fraction form
    8,152.47/12,214.94 = 5,229.18/x
  3. Step 3: Cross multiply
    8,152.47x = 12,214.94 × 5,229.18
  4. Step 4: Simplify right side
    8,152.47x = 63,874,093.80
  5. Step 5: Solve for x
    x = 63,874,093.80/8,152.47
  6. Step 6: Final answer
    x = 7,834.94

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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.