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Finding the Fourth Proportional to 7,781.66, 11,677.17 and 2,783.64

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Solution

The fourth proportional to 7,781.66, 11,677.17 and 2,783.64 is: 4,177.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.66 : 11,677.17 = 2,783.64 : x
  2. Step 2: Convert to fraction form
    7,781.66/11,677.17 = 2,783.64/x
  3. Step 3: Cross multiply
    7,781.66x = 11,677.17 × 2,783.64
  4. Step 4: Simplify right side
    7,781.66x = 32,505,049.59
  5. Step 5: Solve for x
    x = 32,505,049.59/7,781.66
  6. Step 6: Final answer
    x = 4,177.13

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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.