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Finding the Fourth Proportional to 12,794, 17,655.72 and 7,488.56

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Solution

The fourth proportional to 12,794, 17,655.72 and 7,488.56 is: 10,334.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794 : 17,655.72 = 7,488.56 : x
  2. Step 2: Convert to fraction form
    12,794/17,655.72 = 7,488.56/x
  3. Step 3: Cross multiply
    12,794x = 17,655.72 × 7,488.56
  4. Step 4: Simplify right side
    12,794x = 132,215,918.56
  5. Step 5: Solve for x
    x = 132,215,918.56/12,794
  6. Step 6: Final answer
    x = 10,334.21

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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.