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Finding the Fourth Proportional to 10,152.68, 15,229.46 and 3,578.92

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Solution

The fourth proportional to 10,152.68, 15,229.46 and 3,578.92 is: 5,368.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,152.68 : 15,229.46 = 3,578.92 : x
  2. Step 2: Convert to fraction form
    10,152.68/15,229.46 = 3,578.92/x
  3. Step 3: Cross multiply
    10,152.68x = 15,229.46 × 3,578.92
  4. Step 4: Simplify right side
    10,152.68x = 54,504,989.86
  5. Step 5: Solve for x
    x = 54,504,989.86/10,152.68
  6. Step 6: Final answer
    x = 5,368.53

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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.