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Finding the Fourth Proportional to 7,882.30, 10,882.02 and 5,233.33

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Solution

The fourth proportional to 7,882.30, 10,882.02 and 5,233.33 is: 7,224.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.30 : 10,882.02 = 5,233.33 : x
  2. Step 2: Convert to fraction form
    7,882.30/10,882.02 = 5,233.33/x
  3. Step 3: Cross multiply
    7,882.30x = 10,882.02 × 5,233.33
  4. Step 4: Simplify right side
    7,882.30x = 56,949,201.73
  5. Step 5: Solve for x
    x = 56,949,201.73/7,882.30
  6. Step 6: Final answer
    x = 7,224.95

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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.