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Finding the Fourth Proportional to 7,781.64, 11,666.97 and 3,883.29

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Solution

The fourth proportional to 7,781.64, 11,666.97 and 3,883.29 is: 5,822.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.64 : 11,666.97 = 3,883.29 : x
  2. Step 2: Convert to fraction form
    7,781.64/11,666.97 = 3,883.29/x
  3. Step 3: Cross multiply
    7,781.64x = 11,666.97 × 3,883.29
  4. Step 4: Simplify right side
    7,781.64x = 45,306,227.93
  5. Step 5: Solve for x
    x = 45,306,227.93/7,781.64
  6. Step 6: Final answer
    x = 5,822.20

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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.