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Finding the Fourth Proportional to 8,742.40, 12,063.06 and 5,759.44

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Solution

The fourth proportional to 8,742.40, 12,063.06 and 5,759.44 is: 7,947.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742.40 : 12,063.06 = 5,759.44 : x
  2. Step 2: Convert to fraction form
    8,742.40/12,063.06 = 5,759.44/x
  3. Step 3: Cross multiply
    8,742.40x = 12,063.06 × 5,759.44
  4. Step 4: Simplify right side
    8,742.40x = 69,476,470.29
  5. Step 5: Solve for x
    x = 69,476,470.29/8,742.40
  6. Step 6: Final answer
    x = 7,947.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.