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Finding the Fourth Proportional to 7,882.68, 11,824.32 and 2,039.30

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Solution

The fourth proportional to 7,882.68, 11,824.32 and 2,039.30 is: 3,059.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.68 : 11,824.32 = 2,039.30 : x
  2. Step 2: Convert to fraction form
    7,882.68/11,824.32 = 2,039.30/x
  3. Step 3: Cross multiply
    7,882.68x = 11,824.32 × 2,039.30
  4. Step 4: Simplify right side
    7,882.68x = 24,113,335.78
  5. Step 5: Solve for x
    x = 24,113,335.78/7,882.68
  6. Step 6: Final answer
    x = 3,059.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.