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Finding the Fourth Proportional to 7,882.35, 10,876.78 and 4,344.87

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Solution

The fourth proportional to 7,882.35, 10,876.78 and 4,344.87 is: 5,995.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.35 : 10,876.78 = 4,344.87 : x
  2. Step 2: Convert to fraction form
    7,882.35/10,876.78 = 4,344.87/x
  3. Step 3: Cross multiply
    7,882.35x = 10,876.78 × 4,344.87
  4. Step 4: Simplify right side
    7,882.35x = 47,258,241.34
  5. Step 5: Solve for x
    x = 47,258,241.34/7,882.35
  6. Step 6: Final answer
    x = 5,995.45

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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.