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Finding the Fourth Proportional to 7,874.32, 10,869.42 and 5,222.62

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Solution

The fourth proportional to 7,874.32, 10,869.42 and 5,222.62 is: 7,209.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.32 : 10,869.42 = 5,222.62 : x
  2. Step 2: Convert to fraction form
    7,874.32/10,869.42 = 5,222.62/x
  3. Step 3: Cross multiply
    7,874.32x = 10,869.42 × 5,222.62
  4. Step 4: Simplify right side
    7,874.32x = 56,766,850.28
  5. Step 5: Solve for x
    x = 56,766,850.28/7,874.32
  6. Step 6: Final answer
    x = 7,209.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.