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Finding the Fourth Proportional to 11,560.72, 17,350.80 and 6,016

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Solution

The fourth proportional to 11,560.72, 17,350.80 and 6,016 is: 9,029.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,560.72 : 17,350.80 = 6,016 : x
  2. Step 2: Convert to fraction form
    11,560.72/17,350.80 = 6,016/x
  3. Step 3: Cross multiply
    11,560.72x = 17,350.80 × 6,016
  4. Step 4: Simplify right side
    11,560.72x = 104,382,412.80
  5. Step 5: Solve for x
    x = 104,382,412.80/11,560.72
  6. Step 6: Final answer
    x = 9,029.06

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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.