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Finding the Fourth Proportional to 7,534.78, 10,398.07 and 4,177.66

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Solution

The fourth proportional to 7,534.78, 10,398.07 and 4,177.66 is: 5,765.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.78 : 10,398.07 = 4,177.66 : x
  2. Step 2: Convert to fraction form
    7,534.78/10,398.07 = 4,177.66/x
  3. Step 3: Cross multiply
    7,534.78x = 10,398.07 × 4,177.66
  4. Step 4: Simplify right side
    7,534.78x = 43,439,601.12
  5. Step 5: Solve for x
    x = 43,439,601.12/7,534.78
  6. Step 6: Final answer
    x = 5,765.21

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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.