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Finding the Fourth Proportional to 10,759.68, 16,141.32 and 3,364.86

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Solution

The fourth proportional to 10,759.68, 16,141.32 and 3,364.86 is: 5,047.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,759.68 : 16,141.32 = 3,364.86 : x
  2. Step 2: Convert to fraction form
    10,759.68/16,141.32 = 3,364.86/x
  3. Step 3: Cross multiply
    10,759.68x = 16,141.32 × 3,364.86
  4. Step 4: Simplify right side
    10,759.68x = 54,313,282.02
  5. Step 5: Solve for x
    x = 54,313,282.02/10,759.68
  6. Step 6: Final answer
    x = 5,047.85

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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.