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Finding the Fourth Proportional to 7,781.30, 11,670.18 and 2,234.60

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Solution

The fourth proportional to 7,781.30, 11,670.18 and 2,234.60 is: 3,351.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.30 : 11,670.18 = 2,234.60 : x
  2. Step 2: Convert to fraction form
    7,781.30/11,670.18 = 2,234.60/x
  3. Step 3: Cross multiply
    7,781.30x = 11,670.18 × 2,234.60
  4. Step 4: Simplify right side
    7,781.30x = 26,078,202.23
  5. Step 5: Solve for x
    x = 26,078,202.23/7,781.30
  6. Step 6: Final answer
    x = 3,351.39

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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.