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Finding the Fourth Proportional to 10,921.56, 15,067 and 6,940.54

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Solution

The fourth proportional to 10,921.56, 15,067 and 6,940.54 is: 9,574.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,921.56 : 15,067 = 6,940.54 : x
  2. Step 2: Convert to fraction form
    10,921.56/15,067 = 6,940.54/x
  3. Step 3: Cross multiply
    10,921.56x = 15,067 × 6,940.54
  4. Step 4: Simplify right side
    10,921.56x = 104,573,116.18
  5. Step 5: Solve for x
    x = 104,573,116.18/10,921.56
  6. Step 6: Final answer
    x = 9,574.92

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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.