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Finding the Fourth Proportional to 7,286.88, 10,913.84 and 5,974.64

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Solution

The fourth proportional to 7,286.88, 10,913.84 and 5,974.64 is: 8,948.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286.88 : 10,913.84 = 5,974.64 : x
  2. Step 2: Convert to fraction form
    7,286.88/10,913.84 = 5,974.64/x
  3. Step 3: Cross multiply
    7,286.88x = 10,913.84 × 5,974.64
  4. Step 4: Simplify right side
    7,286.88x = 65,206,265.02
  5. Step 5: Solve for x
    x = 65,206,265.02/7,286.88
  6. Step 6: Final answer
    x = 8,948.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.