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Finding the Fourth Proportional to 10,205.87, 15,314.64 and 3,965.07

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Solution

The fourth proportional to 10,205.87, 15,314.64 and 3,965.07 is: 5,949.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.87 : 15,314.64 = 3,965.07 : x
  2. Step 2: Convert to fraction form
    10,205.87/15,314.64 = 3,965.07/x
  3. Step 3: Cross multiply
    10,205.87x = 15,314.64 × 3,965.07
  4. Step 4: Simplify right side
    10,205.87x = 60,723,619.62
  5. Step 5: Solve for x
    x = 60,723,619.62/10,205.87
  6. Step 6: Final answer
    x = 5,949.87

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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.