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Finding the Fourth Proportional to 11,585.26, 17,377.82 and 3,794

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Solution

The fourth proportional to 11,585.26, 17,377.82 and 3,794 is: 5,690.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,585.26 : 17,377.82 = 3,794 : x
  2. Step 2: Convert to fraction form
    11,585.26/17,377.82 = 3,794/x
  3. Step 3: Cross multiply
    11,585.26x = 17,377.82 × 3,794
  4. Step 4: Simplify right side
    11,585.26x = 65,931,430.11
  5. Step 5: Solve for x
    x = 65,931,430.11/11,585.26
  6. Step 6: Final answer
    x = 5,690.98

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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.