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Finding the Fourth Proportional to 10,141.76, 15,220.56 and 5,211.20

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Solution

The fourth proportional to 10,141.76, 15,220.56 and 5,211.20 is: 7,820.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,141.76 : 15,220.56 = 5,211.20 : x
  2. Step 2: Convert to fraction form
    10,141.76/15,220.56 = 5,211.20/x
  3. Step 3: Cross multiply
    10,141.76x = 15,220.56 × 5,211.20
  4. Step 4: Simplify right side
    10,141.76x = 79,317,382.27
  5. Step 5: Solve for x
    x = 79,317,382.27/10,141.76
  6. Step 6: Final answer
    x = 7,820.87

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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.