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Finding the Fourth Proportional to 12,742.76, 17,584.78 and 7,077.52

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Solution

The fourth proportional to 12,742.76, 17,584.78 and 7,077.52 is: 9,766.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,742.76 : 17,584.78 = 7,077.52 : x
  2. Step 2: Convert to fraction form
    12,742.76/17,584.78 = 7,077.52/x
  3. Step 3: Cross multiply
    12,742.76x = 17,584.78 × 7,077.52
  4. Step 4: Simplify right side
    12,742.76x = 124,456,632.15
  5. Step 5: Solve for x
    x = 124,456,632.15/12,742.76
  6. Step 6: Final answer
    x = 9,766.85

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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.