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Finding the Fourth Proportional to 7,155.38, 9,874.13 and 4,171.34

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Solution

The fourth proportional to 7,155.38, 9,874.13 and 4,171.34 is: 5,756.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,155.38 : 9,874.13 = 4,171.34 : x
  2. Step 2: Convert to fraction form
    7,155.38/9,874.13 = 4,171.34/x
  3. Step 3: Cross multiply
    7,155.38x = 9,874.13 × 4,171.34
  4. Step 4: Simplify right side
    7,155.38x = 41,188,357.26
  5. Step 5: Solve for x
    x = 41,188,357.26/7,155.38
  6. Step 6: Final answer
    x = 5,756.28

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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.