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Finding the Fourth Proportional to 10,902.12, 16,351.18 and 2,896.92

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Solution

The fourth proportional to 10,902.12, 16,351.18 and 2,896.92 is: 4,344.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.12 : 16,351.18 = 2,896.92 : x
  2. Step 2: Convert to fraction form
    10,902.12/16,351.18 = 2,896.92/x
  3. Step 3: Cross multiply
    10,902.12x = 16,351.18 × 2,896.92
  4. Step 4: Simplify right side
    10,902.12x = 47,368,060.37
  5. Step 5: Solve for x
    x = 47,368,060.37/10,902.12
  6. Step 6: Final answer
    x = 4,344.85

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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.