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Finding the Fourth Proportional to 7,885.88, 10,882.38 and 4,349

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Solution

The fourth proportional to 7,885.88, 10,882.38 and 4,349 is: 6,001.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,885.88 : 10,882.38 = 4,349 : x
  2. Step 2: Convert to fraction form
    7,885.88/10,882.38 = 4,349/x
  3. Step 3: Cross multiply
    7,885.88x = 10,882.38 × 4,349
  4. Step 4: Simplify right side
    7,885.88x = 47,327,470.62
  5. Step 5: Solve for x
    x = 47,327,470.62/7,885.88
  6. Step 6: Final answer
    x = 6,001.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.