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Finding the Fourth Proportional to 11,902.28, 16,421.40 and 6,865.83

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Solution

The fourth proportional to 11,902.28, 16,421.40 and 6,865.83 is: 9,472.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.28 : 16,421.40 = 6,865.83 : x
  2. Step 2: Convert to fraction form
    11,902.28/16,421.40 = 6,865.83/x
  3. Step 3: Cross multiply
    11,902.28x = 16,421.40 × 6,865.83
  4. Step 4: Simplify right side
    11,902.28x = 112,746,540.76
  5. Step 5: Solve for x
    x = 112,746,540.76/11,902.28
  6. Step 6: Final answer
    x = 9,472.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.