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Finding the Fourth Proportional to 7,882.54, 11,824.89 and 3,499.90

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Solution

The fourth proportional to 7,882.54, 11,824.89 and 3,499.90 is: 5,250.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.54 : 11,824.89 = 3,499.90 : x
  2. Step 2: Convert to fraction form
    7,882.54/11,824.89 = 3,499.90/x
  3. Step 3: Cross multiply
    7,882.54x = 11,824.89 × 3,499.90
  4. Step 4: Simplify right side
    7,882.54x = 41,385,932.51
  5. Step 5: Solve for x
    x = 41,385,932.51/7,882.54
  6. Step 6: Final answer
    x = 5,250.33

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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.