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Finding the Fourth Proportional to 11,806, 16,291.98 and 6,500.76

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Solution

The fourth proportional to 11,806, 16,291.98 and 6,500.76 is: 8,970.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806 : 16,291.98 = 6,500.76 : x
  2. Step 2: Convert to fraction form
    11,806/16,291.98 = 6,500.76/x
  3. Step 3: Cross multiply
    11,806x = 16,291.98 × 6,500.76
  4. Step 4: Simplify right side
    11,806x = 105,910,251.90
  5. Step 5: Solve for x
    x = 105,910,251.90/11,806
  6. Step 6: Final answer
    x = 8,970.88

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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.