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Finding the Fourth Proportional to 11,785.26, 17,684.78 and 4,394.82

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Solution

The fourth proportional to 11,785.26, 17,684.78 and 4,394.82 is: 6,594.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.26 : 17,684.78 = 4,394.82 : x
  2. Step 2: Convert to fraction form
    11,785.26/17,684.78 = 4,394.82/x
  3. Step 3: Cross multiply
    11,785.26x = 17,684.78 × 4,394.82
  4. Step 4: Simplify right side
    11,785.26x = 77,721,424.84
  5. Step 5: Solve for x
    x = 77,721,424.84/11,785.26
  6. Step 6: Final answer
    x = 6,594.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.