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Finding the Fourth Proportional to 12,712.19, 17,540.33 and 7,046.69

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Solution

The fourth proportional to 12,712.19, 17,540.33 and 7,046.69 is: 9,723.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,712.19 : 17,540.33 = 7,046.69 : x
  2. Step 2: Convert to fraction form
    12,712.19/17,540.33 = 7,046.69/x
  3. Step 3: Cross multiply
    12,712.19x = 17,540.33 × 7,046.69
  4. Step 4: Simplify right side
    12,712.19x = 123,601,145.07
  5. Step 5: Solve for x
    x = 123,601,145.07/12,712.19
  6. Step 6: Final answer
    x = 9,723.04

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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.