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Finding the Fourth Proportional to 7,375.72, 10,170.80 and 5,697.40

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Solution

The fourth proportional to 7,375.72, 10,170.80 and 5,697.40 is: 7,856.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,375.72 : 10,170.80 = 5,697.40 : x
  2. Step 2: Convert to fraction form
    7,375.72/10,170.80 = 5,697.40/x
  3. Step 3: Cross multiply
    7,375.72x = 10,170.80 × 5,697.40
  4. Step 4: Simplify right side
    7,375.72x = 57,947,115.92
  5. Step 5: Solve for x
    x = 57,947,115.92/7,375.72
  6. Step 6: Final answer
    x = 7,856.47

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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.