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Finding the Fourth Proportional to 7,375.92, 10,177.05 and 4,188.43

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Solution

The fourth proportional to 7,375.92, 10,177.05 and 4,188.43 is: 5,779.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,375.92 : 10,177.05 = 4,188.43 : x
  2. Step 2: Convert to fraction form
    7,375.92/10,177.05 = 4,188.43/x
  3. Step 3: Cross multiply
    7,375.92x = 10,177.05 × 4,188.43
  4. Step 4: Simplify right side
    7,375.92x = 42,625,861.53
  5. Step 5: Solve for x
    x = 42,625,861.53/7,375.92
  6. Step 6: Final answer
    x = 5,779.06

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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.