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Finding the Fourth Proportional to 10,589.87, 15,884.94 and 4,745.27

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Solution

The fourth proportional to 10,589.87, 15,884.94 and 4,745.27 is: 7,117.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.87 : 15,884.94 = 4,745.27 : x
  2. Step 2: Convert to fraction form
    10,589.87/15,884.94 = 4,745.27/x
  3. Step 3: Cross multiply
    10,589.87x = 15,884.94 × 4,745.27
  4. Step 4: Simplify right side
    10,589.87x = 75,378,329.23
  5. Step 5: Solve for x
    x = 75,378,329.23/10,589.87
  6. Step 6: Final answer
    x = 7,117.97

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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.