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Finding the Fourth Proportional to 7,314.57, 10,094.22 and 4,170.56

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Solution

The fourth proportional to 7,314.57, 10,094.22 and 4,170.56 is: 5,755.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314.57 : 10,094.22 = 4,170.56 : x
  2. Step 2: Convert to fraction form
    7,314.57/10,094.22 = 4,170.56/x
  3. Step 3: Cross multiply
    7,314.57x = 10,094.22 × 4,170.56
  4. Step 4: Simplify right side
    7,314.57x = 42,098,499.69
  5. Step 5: Solve for x
    x = 42,098,499.69/7,314.57
  6. Step 6: Final answer
    x = 5,755.43

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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.