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Finding the Fourth Proportional to 7,517.40, 10,375.32 and 4,375.40

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Solution

The fourth proportional to 7,517.40, 10,375.32 and 4,375.40 is: 6,038.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,517.40 : 10,375.32 = 4,375.40 : x
  2. Step 2: Convert to fraction form
    7,517.40/10,375.32 = 4,375.40/x
  3. Step 3: Cross multiply
    7,517.40x = 10,375.32 × 4,375.40
  4. Step 4: Simplify right side
    7,517.40x = 45,396,175.13
  5. Step 5: Solve for x
    x = 45,396,175.13/7,517.40
  6. Step 6: Final answer
    x = 6,038.81

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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.