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Finding the Fourth Proportional to 10,616.62, 15,920.34 and 5,348.38

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Solution

The fourth proportional to 10,616.62, 15,920.34 and 5,348.38 is: 8,020.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.62 : 15,920.34 = 5,348.38 : x
  2. Step 2: Convert to fraction form
    10,616.62/15,920.34 = 5,348.38/x
  3. Step 3: Cross multiply
    10,616.62x = 15,920.34 × 5,348.38
  4. Step 4: Simplify right side
    10,616.62x = 85,148,028.05
  5. Step 5: Solve for x
    x = 85,148,028.05/10,616.62
  6. Step 6: Final answer
    x = 8,020.26

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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.