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Finding the Fourth Proportional to 10,306.80, 15,452.10 and 5,689.80

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Solution

The fourth proportional to 10,306.80, 15,452.10 and 5,689.80 is: 8,530.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,306.80 : 15,452.10 = 5,689.80 : x
  2. Step 2: Convert to fraction form
    10,306.80/15,452.10 = 5,689.80/x
  3. Step 3: Cross multiply
    10,306.80x = 15,452.10 × 5,689.80
  4. Step 4: Simplify right side
    10,306.80x = 87,919,358.58
  5. Step 5: Solve for x
    x = 87,919,358.58/10,306.80
  6. Step 6: Final answer
    x = 8,530.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.