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Finding the Fourth Proportional to 11,974.65, 16,532.46 and 7,727.82

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Solution

The fourth proportional to 11,974.65, 16,532.46 and 7,727.82 is: 10,669.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,974.65 : 16,532.46 = 7,727.82 : x
  2. Step 2: Convert to fraction form
    11,974.65/16,532.46 = 7,727.82/x
  3. Step 3: Cross multiply
    11,974.65x = 16,532.46 × 7,727.82
  4. Step 4: Simplify right side
    11,974.65x = 127,759,875.04
  5. Step 5: Solve for x
    x = 127,759,875.04/11,974.65
  6. Step 6: Final answer
    x = 10,669.19

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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.