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Finding the Fourth Proportional to 10,129.78, 15,194.67 and 4,286.44

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Solution

The fourth proportional to 10,129.78, 15,194.67 and 4,286.44 is: 6,429.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129.78 : 15,194.67 = 4,286.44 : x
  2. Step 2: Convert to fraction form
    10,129.78/15,194.67 = 4,286.44/x
  3. Step 3: Cross multiply
    10,129.78x = 15,194.67 × 4,286.44
  4. Step 4: Simplify right side
    10,129.78x = 65,131,041.27
  5. Step 5: Solve for x
    x = 65,131,041.27/10,129.78
  6. Step 6: Final answer
    x = 6,429.66

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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.