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Finding the Fourth Proportional to 11,494.31, 15,859.35 and 7,016.43

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Solution

The fourth proportional to 11,494.31, 15,859.35 and 7,016.43 is: 9,680.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.31 : 15,859.35 = 7,016.43 : x
  2. Step 2: Convert to fraction form
    11,494.31/15,859.35 = 7,016.43/x
  3. Step 3: Cross multiply
    11,494.31x = 15,859.35 × 7,016.43
  4. Step 4: Simplify right side
    11,494.31x = 111,276,019.12
  5. Step 5: Solve for x
    x = 111,276,019.12/11,494.31
  6. Step 6: Final answer
    x = 9,680.97

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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.