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Finding the Fourth Proportional to 10,112.76, 15,169.92 and 3,447.20

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Solution

The fourth proportional to 10,112.76, 15,169.92 and 3,447.20 is: 5,171.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,112.76 : 15,169.92 = 3,447.20 : x
  2. Step 2: Convert to fraction form
    10,112.76/15,169.92 = 3,447.20/x
  3. Step 3: Cross multiply
    10,112.76x = 15,169.92 × 3,447.20
  4. Step 4: Simplify right side
    10,112.76x = 52,293,748.22
  5. Step 5: Solve for x
    x = 52,293,748.22/10,112.76
  6. Step 6: Final answer
    x = 5,171.07

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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.