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Finding the Fourth Proportional to 7,882.86, 11,825.12 and 3,202.17

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Solution

The fourth proportional to 7,882.86, 11,825.12 and 3,202.17 is: 4,803.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.86 : 11,825.12 = 3,202.17 : x
  2. Step 2: Convert to fraction form
    7,882.86/11,825.12 = 3,202.17/x
  3. Step 3: Cross multiply
    7,882.86x = 11,825.12 × 3,202.17
  4. Step 4: Simplify right side
    7,882.86x = 37,866,008.17
  5. Step 5: Solve for x
    x = 37,866,008.17/7,882.86
  6. Step 6: Final answer
    x = 4,803.59

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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.