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Finding the Fourth Proportional to 10,253.89, 15,375.37 and 5,311.27

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Solution

The fourth proportional to 10,253.89, 15,375.37 and 5,311.27 is: 7,964.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,253.89 : 15,375.37 = 5,311.27 : x
  2. Step 2: Convert to fraction form
    10,253.89/15,375.37 = 5,311.27/x
  3. Step 3: Cross multiply
    10,253.89x = 15,375.37 × 5,311.27
  4. Step 4: Simplify right side
    10,253.89x = 81,662,714.86
  5. Step 5: Solve for x
    x = 81,662,714.86/10,253.89
  6. Step 6: Final answer
    x = 7,964.07

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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.