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Finding the Fourth Proportional to 11,296.80, 16,930.80 and 8,686.80

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Solution

The fourth proportional to 11,296.80, 16,930.80 and 8,686.80 is: 13,019.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,296.80 : 16,930.80 = 8,686.80 : x
  2. Step 2: Convert to fraction form
    11,296.80/16,930.80 = 8,686.80/x
  3. Step 3: Cross multiply
    11,296.80x = 16,930.80 × 8,686.80
  4. Step 4: Simplify right side
    11,296.80x = 147,074,473.44
  5. Step 5: Solve for x
    x = 147,074,473.44/11,296.80
  6. Step 6: Final answer
    x = 13,019.13

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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.