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Finding the Fourth Proportional to 11,908.99, 16,429.80 and 7,659.49

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Solution

The fourth proportional to 11,908.99, 16,429.80 and 7,659.49 is: 10,567.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,908.99 : 16,429.80 = 7,659.49 : x
  2. Step 2: Convert to fraction form
    11,908.99/16,429.80 = 7,659.49/x
  3. Step 3: Cross multiply
    11,908.99x = 16,429.80 × 7,659.49
  4. Step 4: Simplify right side
    11,908.99x = 125,843,888.80
  5. Step 5: Solve for x
    x = 125,843,888.80/11,908.99
  6. Step 6: Final answer
    x = 10,567.13

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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.