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Finding the Fourth Proportional to 6,011.52, 9,016.20 and 2,724

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Solution

The fourth proportional to 6,011.52, 9,016.20 and 2,724 is: 4,085.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,011.52 : 9,016.20 = 2,724 : x
  2. Step 2: Convert to fraction form
    6,011.52/9,016.20 = 2,724/x
  3. Step 3: Cross multiply
    6,011.52x = 9,016.20 × 2,724
  4. Step 4: Simplify right side
    6,011.52x = 24,560,128.80
  5. Step 5: Solve for x
    x = 24,560,128.80/6,011.52
  6. Step 6: Final answer
    x = 4,085.51

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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.