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Finding the Fourth Proportional to 10,200.56, 15,287.88 and 5,578.16

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Solution

The fourth proportional to 10,200.56, 15,287.88 and 5,578.16 is: 8,360.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.56 : 15,287.88 = 5,578.16 : x
  2. Step 2: Convert to fraction form
    10,200.56/15,287.88 = 5,578.16/x
  3. Step 3: Cross multiply
    10,200.56x = 15,287.88 × 5,578.16
  4. Step 4: Simplify right side
    10,200.56x = 85,278,240.70
  5. Step 5: Solve for x
    x = 85,278,240.70/10,200.56
  6. Step 6: Final answer
    x = 8,360.15

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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.