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Finding the Fourth Proportional to 11,949.48, 17,886.78 and 7,727.13

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Solution

The fourth proportional to 11,949.48, 17,886.78 and 7,727.13 is: 11,566.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,949.48 : 17,886.78 = 7,727.13 : x
  2. Step 2: Convert to fraction form
    11,949.48/17,886.78 = 7,727.13/x
  3. Step 3: Cross multiply
    11,949.48x = 17,886.78 × 7,727.13
  4. Step 4: Simplify right side
    11,949.48x = 138,213,474.34
  5. Step 5: Solve for x
    x = 138,213,474.34/11,949.48
  6. Step 6: Final answer
    x = 11,566.48

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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.