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Finding the Fourth Proportional to 10,917.75, 15,067.71 and 6,726

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Solution

The fourth proportional to 10,917.75, 15,067.71 and 6,726 is: 9,282.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,917.75 : 15,067.71 = 6,726 : x
  2. Step 2: Convert to fraction form
    10,917.75/15,067.71 = 6,726/x
  3. Step 3: Cross multiply
    10,917.75x = 15,067.71 × 6,726
  4. Step 4: Simplify right side
    10,917.75x = 101,345,417.46
  5. Step 5: Solve for x
    x = 101,345,417.46/10,917.75
  6. Step 6: Final answer
    x = 9,282.63

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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.