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Finding the Fourth Proportional to 12,742.49, 17,584.03 and 7,077.60

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Solution

The fourth proportional to 12,742.49, 17,584.03 and 7,077.60 is: 9,766.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,742.49 : 17,584.03 = 7,077.60 : x
  2. Step 2: Convert to fraction form
    12,742.49/17,584.03 = 7,077.60/x
  3. Step 3: Cross multiply
    12,742.49x = 17,584.03 × 7,077.60
  4. Step 4: Simplify right side
    12,742.49x = 124,452,739.58
  5. Step 5: Solve for x
    x = 124,452,739.58/12,742.49
  6. Step 6: Final answer
    x = 9,766.75

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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.