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Finding the Fourth Proportional to 7,314.88, 10,086.24 and 5,897.92

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Solution

The fourth proportional to 7,314.88, 10,086.24 and 5,897.92 is: 8,132.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314.88 : 10,086.24 = 5,897.92 : x
  2. Step 2: Convert to fraction form
    7,314.88/10,086.24 = 5,897.92/x
  3. Step 3: Cross multiply
    7,314.88x = 10,086.24 × 5,897.92
  4. Step 4: Simplify right side
    7,314.88x = 59,487,836.62
  5. Step 5: Solve for x
    x = 59,487,836.62/7,314.88
  6. Step 6: Final answer
    x = 8,132.44

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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.