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Finding the Fourth Proportional to 11,781.20, 17,679.16 and 6,590.80

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Solution

The fourth proportional to 11,781.20, 17,679.16 and 6,590.80 is: 9,890.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781.20 : 17,679.16 = 6,590.80 : x
  2. Step 2: Convert to fraction form
    11,781.20/17,679.16 = 6,590.80/x
  3. Step 3: Cross multiply
    11,781.20x = 17,679.16 × 6,590.80
  4. Step 4: Simplify right side
    11,781.20x = 116,519,807.73
  5. Step 5: Solve for x
    x = 116,519,807.73/11,781.20
  6. Step 6: Final answer
    x = 9,890.32

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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.