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Finding the Fourth Proportional to 10,375.86, 15,568.37 and 5,444.31

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Solution

The fourth proportional to 10,375.86, 15,568.37 and 5,444.31 is: 8,168.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375.86 : 15,568.37 = 5,444.31 : x
  2. Step 2: Convert to fraction form
    10,375.86/15,568.37 = 5,444.31/x
  3. Step 3: Cross multiply
    10,375.86x = 15,568.37 × 5,444.31
  4. Step 4: Simplify right side
    10,375.86x = 84,759,005.25
  5. Step 5: Solve for x
    x = 84,759,005.25/10,375.86
  6. Step 6: Final answer
    x = 8,168.87

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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.