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Finding the Fourth Proportional to 11,206.65, 16,788.10 and 8,729.87

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Solution

The fourth proportional to 11,206.65, 16,788.10 and 8,729.87 is: 13,077.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206.65 : 16,788.10 = 8,729.87 : x
  2. Step 2: Convert to fraction form
    11,206.65/16,788.10 = 8,729.87/x
  3. Step 3: Cross multiply
    11,206.65x = 16,788.10 × 8,729.87
  4. Step 4: Simplify right side
    11,206.65x = 146,557,930.55
  5. Step 5: Solve for x
    x = 146,557,930.55/11,206.65
  6. Step 6: Final answer
    x = 13,077.76

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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.