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Finding the Fourth Proportional to 10,494.25, 15,743.05 and 3,474.52

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Solution

The fourth proportional to 10,494.25, 15,743.05 and 3,474.52 is: 5,212.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.25 : 15,743.05 = 3,474.52 : x
  2. Step 2: Convert to fraction form
    10,494.25/15,743.05 = 3,474.52/x
  3. Step 3: Cross multiply
    10,494.25x = 15,743.05 × 3,474.52
  4. Step 4: Simplify right side
    10,494.25x = 54,699,494.04
  5. Step 5: Solve for x
    x = 54,699,494.04/10,494.25
  6. Step 6: Final answer
    x = 5,212.33

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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.