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Finding the Fourth Proportional to 10,613.38, 15,920.04 and 2,822.19

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Solution

The fourth proportional to 10,613.38, 15,920.04 and 2,822.19 is: 4,233.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.38 : 15,920.04 = 2,822.19 : x
  2. Step 2: Convert to fraction form
    10,613.38/15,920.04 = 2,822.19/x
  3. Step 3: Cross multiply
    10,613.38x = 15,920.04 × 2,822.19
  4. Step 4: Simplify right side
    10,613.38x = 44,929,377.69
  5. Step 5: Solve for x
    x = 44,929,377.69/10,613.38
  6. Step 6: Final answer
    x = 4,233.28

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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.