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Finding the Fourth Proportional to 12,743.87, 17,588.61 and 7,438.64

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Solution

The fourth proportional to 12,743.87, 17,588.61 and 7,438.64 is: 10,266.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,743.87 : 17,588.61 = 7,438.64 : x
  2. Step 2: Convert to fraction form
    12,743.87/17,588.61 = 7,438.64/x
  3. Step 3: Cross multiply
    12,743.87x = 17,588.61 × 7,438.64
  4. Step 4: Simplify right side
    12,743.87x = 130,835,249.95
  5. Step 5: Solve for x
    x = 130,835,249.95/12,743.87
  6. Step 6: Final answer
    x = 10,266.53

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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.