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Finding the Fourth Proportional to 10,902.15, 16,353.47 and 6,188.49

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Solution

The fourth proportional to 10,902.15, 16,353.47 and 6,188.49 is: 9,282.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.15 : 16,353.47 = 6,188.49 : x
  2. Step 2: Convert to fraction form
    10,902.15/16,353.47 = 6,188.49/x
  3. Step 3: Cross multiply
    10,902.15x = 16,353.47 × 6,188.49
  4. Step 4: Simplify right side
    10,902.15x = 101,203,301.03
  5. Step 5: Solve for x
    x = 101,203,301.03/10,902.15
  6. Step 6: Final answer
    x = 9,282.88

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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.