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Finding the Fourth Proportional to 10,162.38, 15,233.04 and 5,221.02

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Solution

The fourth proportional to 10,162.38, 15,233.04 and 5,221.02 is: 7,826.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,162.38 : 15,233.04 = 5,221.02 : x
  2. Step 2: Convert to fraction form
    10,162.38/15,233.04 = 5,221.02/x
  3. Step 3: Cross multiply
    10,162.38x = 15,233.04 × 5,221.02
  4. Step 4: Simplify right side
    10,162.38x = 79,532,006.50
  5. Step 5: Solve for x
    x = 79,532,006.50/10,162.38
  6. Step 6: Final answer
    x = 7,826.12

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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.