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Finding the Fourth Proportional to 7,939.68, 11,884.84 and 5,862

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Solution

The fourth proportional to 7,939.68, 11,884.84 and 5,862 is: 8,774.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,939.68 : 11,884.84 = 5,862 : x
  2. Step 2: Convert to fraction form
    7,939.68/11,884.84 = 5,862/x
  3. Step 3: Cross multiply
    7,939.68x = 11,884.84 × 5,862
  4. Step 4: Simplify right side
    7,939.68x = 69,668,932.08
  5. Step 5: Solve for x
    x = 69,668,932.08/7,939.68
  6. Step 6: Final answer
    x = 8,774.78

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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.