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Finding the Fourth Proportional to 11,761.68, 17,619.80 and 8,055.12

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Solution

The fourth proportional to 11,761.68, 17,619.80 and 8,055.12 is: 12,067.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.68 : 17,619.80 = 8,055.12 : x
  2. Step 2: Convert to fraction form
    11,761.68/17,619.80 = 8,055.12/x
  3. Step 3: Cross multiply
    11,761.68x = 17,619.80 × 8,055.12
  4. Step 4: Simplify right side
    11,761.68x = 141,929,603.38
  5. Step 5: Solve for x
    x = 141,929,603.38/11,761.68
  6. Step 6: Final answer
    x = 12,067.12

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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.