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Finding the Fourth Proportional to 7,694.47, 10,615.53 and 5,902.27

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Solution

The fourth proportional to 7,694.47, 10,615.53 and 5,902.27 is: 8,142.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.47 : 10,615.53 = 5,902.27 : x
  2. Step 2: Convert to fraction form
    7,694.47/10,615.53 = 5,902.27/x
  3. Step 3: Cross multiply
    7,694.47x = 10,615.53 × 5,902.27
  4. Step 4: Simplify right side
    7,694.47x = 62,655,724.25
  5. Step 5: Solve for x
    x = 62,655,724.25/7,694.47
  6. Step 6: Final answer
    x = 8,142.96

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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.