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Finding the Fourth Proportional to 11,589.60, 15,998.40 and 6,874.32

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Solution

The fourth proportional to 11,589.60, 15,998.40 and 6,874.32 is: 9,489.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.60 : 15,998.40 = 6,874.32 : x
  2. Step 2: Convert to fraction form
    11,589.60/15,998.40 = 6,874.32/x
  3. Step 3: Cross multiply
    11,589.60x = 15,998.40 × 6,874.32
  4. Step 4: Simplify right side
    11,589.60x = 109,978,121.09
  5. Step 5: Solve for x
    x = 109,978,121.09/11,589.60
  6. Step 6: Final answer
    x = 9,489.38

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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.