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Finding the Fourth Proportional to 12,760.42, 17,609.88 and 7,095.13

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Solution

The fourth proportional to 12,760.42, 17,609.88 and 7,095.13 is: 9,791.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,760.42 : 17,609.88 = 7,095.13 : x
  2. Step 2: Convert to fraction form
    12,760.42/17,609.88 = 7,095.13/x
  3. Step 3: Cross multiply
    12,760.42x = 17,609.88 × 7,095.13
  4. Step 4: Simplify right side
    12,760.42x = 124,944,387.88
  5. Step 5: Solve for x
    x = 124,944,387.88/12,760.42
  6. Step 6: Final answer
    x = 9,791.56

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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.