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Finding the Fourth Proportional to 7,175.38, 9,902.28 and 4,031.50

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Solution

The fourth proportional to 7,175.38, 9,902.28 and 4,031.50 is: 5,563.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.38 : 9,902.28 = 4,031.50 : x
  2. Step 2: Convert to fraction form
    7,175.38/9,902.28 = 4,031.50/x
  3. Step 3: Cross multiply
    7,175.38x = 9,902.28 × 4,031.50
  4. Step 4: Simplify right side
    7,175.38x = 39,921,041.82
  5. Step 5: Solve for x
    x = 39,921,041.82/7,175.38
  6. Step 6: Final answer
    x = 5,563.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.