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Finding the Fourth Proportional to 10,022.84, 15,034.10 and 3,449.09

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Solution

The fourth proportional to 10,022.84, 15,034.10 and 3,449.09 is: 5,173.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,022.84 : 15,034.10 = 3,449.09 : x
  2. Step 2: Convert to fraction form
    10,022.84/15,034.10 = 3,449.09/x
  3. Step 3: Cross multiply
    10,022.84x = 15,034.10 × 3,449.09
  4. Step 4: Simplify right side
    10,022.84x = 51,853,888.80
  5. Step 5: Solve for x
    x = 51,853,888.80/10,022.84
  6. Step 6: Final answer
    x = 5,173.57

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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.