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Finding the Fourth Proportional to 10,201.44, 15,306.84 and 6,049.68

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Solution

The fourth proportional to 10,201.44, 15,306.84 and 6,049.68 is: 9,077.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.44 : 15,306.84 = 6,049.68 : x
  2. Step 2: Convert to fraction form
    10,201.44/15,306.84 = 6,049.68/x
  3. Step 3: Cross multiply
    10,201.44x = 15,306.84 × 6,049.68
  4. Step 4: Simplify right side
    10,201.44x = 92,601,483.81
  5. Step 5: Solve for x
    x = 92,601,483.81/10,201.44
  6. Step 6: Final answer
    x = 9,077.30

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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.