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Finding the Fourth Proportional to 7,531.86, 10,394.04 and 4,174.90

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Solution

The fourth proportional to 7,531.86, 10,394.04 and 4,174.90 is: 5,761.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,531.86 : 10,394.04 = 4,174.90 : x
  2. Step 2: Convert to fraction form
    7,531.86/10,394.04 = 4,174.90/x
  3. Step 3: Cross multiply
    7,531.86x = 10,394.04 × 4,174.90
  4. Step 4: Simplify right side
    7,531.86x = 43,394,077.60
  5. Step 5: Solve for x
    x = 43,394,077.60/7,531.86
  6. Step 6: Final answer
    x = 5,761.40

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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.