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Finding the Fourth Proportional to 5,016.24, 7,524.36 and 4,711.76

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Solution

The fourth proportional to 5,016.24, 7,524.36 and 4,711.76 is: 7,067.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,016.24 : 7,524.36 = 4,711.76 : x
  2. Step 2: Convert to fraction form
    5,016.24/7,524.36 = 4,711.76/x
  3. Step 3: Cross multiply
    5,016.24x = 7,524.36 × 4,711.76
  4. Step 4: Simplify right side
    5,016.24x = 35,452,978.47
  5. Step 5: Solve for x
    x = 35,452,978.47/5,016.24
  6. Step 6: Final answer
    x = 7,067.64

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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.