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Finding the Fourth Proportional to 7,882.38, 11,825.88 and 2,335.86

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Solution

The fourth proportional to 7,882.38, 11,825.88 and 2,335.86 is: 3,504.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.38 : 11,825.88 = 2,335.86 : x
  2. Step 2: Convert to fraction form
    7,882.38/11,825.88 = 2,335.86/x
  3. Step 3: Cross multiply
    7,882.38x = 11,825.88 × 2,335.86
  4. Step 4: Simplify right side
    7,882.38x = 27,623,600.06
  5. Step 5: Solve for x
    x = 27,623,600.06/7,882.38
  6. Step 6: Final answer
    x = 3,504.47

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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.