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Finding the Fourth Proportional to 10,356.12, 15,540.12 and 3,781.44

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Solution

The fourth proportional to 10,356.12, 15,540.12 and 3,781.44 is: 5,674.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.12 : 15,540.12 = 3,781.44 : x
  2. Step 2: Convert to fraction form
    10,356.12/15,540.12 = 3,781.44/x
  3. Step 3: Cross multiply
    10,356.12x = 15,540.12 × 3,781.44
  4. Step 4: Simplify right side
    10,356.12x = 58,764,031.37
  5. Step 5: Solve for x
    x = 58,764,031.37/10,356.12
  6. Step 6: Final answer
    x = 5,674.33

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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.