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Finding the Fourth Proportional to 10,137, 15,212.28 and 3,902.16

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Solution

The fourth proportional to 10,137, 15,212.28 and 3,902.16 is: 5,855.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137 : 15,212.28 = 3,902.16 : x
  2. Step 2: Convert to fraction form
    10,137/15,212.28 = 3,902.16/x
  3. Step 3: Cross multiply
    10,137x = 15,212.28 × 3,902.16
  4. Step 4: Simplify right side
    10,137x = 59,360,750.52
  5. Step 5: Solve for x
    x = 59,360,750.52/10,137
  6. Step 6: Final answer
    x = 5,855.85

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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.