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Finding the Fourth Proportional to 10,146.57, 15,219.33 and 3,572.80

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Solution

The fourth proportional to 10,146.57, 15,219.33 and 3,572.80 is: 5,359.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,146.57 : 15,219.33 = 3,572.80 : x
  2. Step 2: Convert to fraction form
    10,146.57/15,219.33 = 3,572.80/x
  3. Step 3: Cross multiply
    10,146.57x = 15,219.33 × 3,572.80
  4. Step 4: Simplify right side
    10,146.57x = 54,375,622.22
  5. Step 5: Solve for x
    x = 54,375,622.22/10,146.57
  6. Step 6: Final answer
    x = 5,359.02

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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.