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Finding the Fourth Proportional to 10,123.20, 15,217.20 and 7,221.60

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Solution

The fourth proportional to 10,123.20, 15,217.20 and 7,221.60 is: 10,855.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,123.20 : 15,217.20 = 7,221.60 : x
  2. Step 2: Convert to fraction form
    10,123.20/15,217.20 = 7,221.60/x
  3. Step 3: Cross multiply
    10,123.20x = 15,217.20 × 7,221.60
  4. Step 4: Simplify right side
    10,123.20x = 109,892,531.52
  5. Step 5: Solve for x
    x = 109,892,531.52/10,123.20
  6. Step 6: Final answer
    x = 10,855.51

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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.