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Finding the Fourth Proportional to 12,743.29, 17,584.89 and 7,077.58

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Solution

The fourth proportional to 12,743.29, 17,584.89 and 7,077.58 is: 9,766.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,743.29 : 17,584.89 = 7,077.58 : x
  2. Step 2: Convert to fraction form
    12,743.29/17,584.89 = 7,077.58/x
  3. Step 3: Cross multiply
    12,743.29x = 17,584.89 × 7,077.58
  4. Step 4: Simplify right side
    12,743.29x = 124,458,465.77
  5. Step 5: Solve for x
    x = 124,458,465.77/12,743.29
  6. Step 6: Final answer
    x = 9,766.59

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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.