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Finding the Fourth Proportional to 10,489.19, 15,728.79 and 3,820.95

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Solution

The fourth proportional to 10,489.19, 15,728.79 and 3,820.95 is: 5,729.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.19 : 15,728.79 = 3,820.95 : x
  2. Step 2: Convert to fraction form
    10,489.19/15,728.79 = 3,820.95/x
  3. Step 3: Cross multiply
    10,489.19x = 15,728.79 × 3,820.95
  4. Step 4: Simplify right side
    10,489.19x = 60,098,920.15
  5. Step 5: Solve for x
    x = 60,098,920.15/10,489.19
  6. Step 6: Final answer
    x = 5,729.61

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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.