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Finding the Fourth Proportional to 10,222.25, 15,335.11 and 3,200.88

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Solution

The fourth proportional to 10,222.25, 15,335.11 and 3,200.88 is: 4,801.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,222.25 : 15,335.11 = 3,200.88 : x
  2. Step 2: Convert to fraction form
    10,222.25/15,335.11 = 3,200.88/x
  3. Step 3: Cross multiply
    10,222.25x = 15,335.11 × 3,200.88
  4. Step 4: Simplify right side
    10,222.25x = 49,085,903.90
  5. Step 5: Solve for x
    x = 49,085,903.90/10,222.25
  6. Step 6: Final answer
    x = 4,801.87

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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.