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Finding the Fourth Proportional to 10,119.26, 15,164.84 and 5,961.98

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Solution

The fourth proportional to 10,119.26, 15,164.84 and 5,961.98 is: 8,934.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,119.26 : 15,164.84 = 5,961.98 : x
  2. Step 2: Convert to fraction form
    10,119.26/15,164.84 = 5,961.98/x
  3. Step 3: Cross multiply
    10,119.26x = 15,164.84 × 5,961.98
  4. Step 4: Simplify right side
    10,119.26x = 90,412,472.78
  5. Step 5: Solve for x
    x = 90,412,472.78/10,119.26
  6. Step 6: Final answer
    x = 8,934.69

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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.