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Finding the Fourth Proportional to 11,782.26, 17,680.28 and 4,391.82

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Solution

The fourth proportional to 11,782.26, 17,680.28 and 4,391.82 is: 6,590.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.26 : 17,680.28 = 4,391.82 : x
  2. Step 2: Convert to fraction form
    11,782.26/17,680.28 = 4,391.82/x
  3. Step 3: Cross multiply
    11,782.26x = 17,680.28 × 4,391.82
  4. Step 4: Simplify right side
    11,782.26x = 77,648,585.35
  5. Step 5: Solve for x
    x = 77,648,585.35/11,782.26
  6. Step 6: Final answer
    x = 6,590.30

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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.