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Finding the Fourth Proportional to 7,240.36, 9,982.02 and 5,753.20

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Solution

The fourth proportional to 7,240.36, 9,982.02 and 5,753.20 is: 7,931.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,240.36 : 9,982.02 = 5,753.20 : x
  2. Step 2: Convert to fraction form
    7,240.36/9,982.02 = 5,753.20/x
  3. Step 3: Cross multiply
    7,240.36x = 9,982.02 × 5,753.20
  4. Step 4: Simplify right side
    7,240.36x = 57,428,557.46
  5. Step 5: Solve for x
    x = 57,428,557.46/7,240.36
  6. Step 6: Final answer
    x = 7,931.73

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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.