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Finding the Fourth Proportional to 12,823.79, 17,691.95 and 7,786.09

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Solution

The fourth proportional to 12,823.79, 17,691.95 and 7,786.09 is: 10,741.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,823.79 : 17,691.95 = 7,786.09 : x
  2. Step 2: Convert to fraction form
    12,823.79/17,691.95 = 7,786.09/x
  3. Step 3: Cross multiply
    12,823.79x = 17,691.95 × 7,786.09
  4. Step 4: Simplify right side
    12,823.79x = 137,751,156.56
  5. Step 5: Solve for x
    x = 137,751,156.56/12,823.79
  6. Step 6: Final answer
    x = 10,741.85

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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.