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Finding the Fourth Proportional to 10,170.24, 14,034.93 and 5,694

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Solution

The fourth proportional to 10,170.24, 14,034.93 and 5,694 is: 7,857.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,170.24 : 14,034.93 = 5,694 : x
  2. Step 2: Convert to fraction form
    10,170.24/14,034.93 = 5,694/x
  3. Step 3: Cross multiply
    10,170.24x = 14,034.93 × 5,694
  4. Step 4: Simplify right side
    10,170.24x = 79,914,891.42
  5. Step 5: Solve for x
    x = 79,914,891.42/10,170.24
  6. Step 6: Final answer
    x = 7,857.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.