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Finding the Fourth Proportional to 7,781.69, 11,665.60 and 2,850.17

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Solution

The fourth proportional to 7,781.69, 11,665.60 and 2,850.17 is: 4,272.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.69 : 11,665.60 = 2,850.17 : x
  2. Step 2: Convert to fraction form
    7,781.69/11,665.60 = 2,850.17/x
  3. Step 3: Cross multiply
    7,781.69x = 11,665.60 × 2,850.17
  4. Step 4: Simplify right side
    7,781.69x = 33,248,981.23
  5. Step 5: Solve for x
    x = 33,248,981.23/7,781.69
  6. Step 6: Final answer
    x = 4,272.72

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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.