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Finding the Fourth Proportional to 11,794.38, 17,695.82 and 5,946.58

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Solution

The fourth proportional to 11,794.38, 17,695.82 and 5,946.58 is: 8,922.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794.38 : 17,695.82 = 5,946.58 : x
  2. Step 2: Convert to fraction form
    11,794.38/17,695.82 = 5,946.58/x
  3. Step 3: Cross multiply
    11,794.38x = 17,695.82 × 5,946.58
  4. Step 4: Simplify right side
    11,794.38x = 105,229,612.83
  5. Step 5: Solve for x
    x = 105,229,612.83/11,794.38
  6. Step 6: Final answer
    x = 8,922.02

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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.