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Finding the Fourth Proportional to 10,527.68, 15,786.89 and 3,949.25

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Solution

The fourth proportional to 10,527.68, 15,786.89 and 3,949.25 is: 5,922.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.68 : 15,786.89 = 3,949.25 : x
  2. Step 2: Convert to fraction form
    10,527.68/15,786.89 = 3,949.25/x
  3. Step 3: Cross multiply
    10,527.68x = 15,786.89 × 3,949.25
  4. Step 4: Simplify right side
    10,527.68x = 62,346,335.87
  5. Step 5: Solve for x
    x = 62,346,335.87/10,527.68
  6. Step 6: Final answer
    x = 5,922.14

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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.