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Finding the Fourth Proportional to 7,534.75, 10,398.19 and 4,177.87

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Solution

The fourth proportional to 7,534.75, 10,398.19 and 4,177.87 is: 5,765.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.75 : 10,398.19 = 4,177.87 : x
  2. Step 2: Convert to fraction form
    7,534.75/10,398.19 = 4,177.87/x
  3. Step 3: Cross multiply
    7,534.75x = 10,398.19 × 4,177.87
  4. Step 4: Simplify right side
    7,534.75x = 43,442,286.06
  5. Step 5: Solve for x
    x = 43,442,286.06/7,534.75
  6. Step 6: Final answer
    x = 5,765.59

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