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Finding the Fourth Proportional to 10,227.53, 15,334.20 and 5,220.18

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Solution

The fourth proportional to 10,227.53, 15,334.20 and 5,220.18 is: 7,826.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,227.53 : 15,334.20 = 5,220.18 : x
  2. Step 2: Convert to fraction form
    10,227.53/15,334.20 = 5,220.18/x
  3. Step 3: Cross multiply
    10,227.53x = 15,334.20 × 5,220.18
  4. Step 4: Simplify right side
    10,227.53x = 80,047,284.16
  5. Step 5: Solve for x
    x = 80,047,284.16/10,227.53
  6. Step 6: Final answer
    x = 7,826.65

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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.