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Finding the Fourth Proportional to 7,791.20, 11,679 and 3,109.52

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Solution

The fourth proportional to 7,791.20, 11,679 and 3,109.52 is: 4,661.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791.20 : 11,679 = 3,109.52 : x
  2. Step 2: Convert to fraction form
    7,791.20/11,679 = 3,109.52/x
  3. Step 3: Cross multiply
    7,791.20x = 11,679 × 3,109.52
  4. Step 4: Simplify right side
    7,791.20x = 36,316,084.08
  5. Step 5: Solve for x
    x = 36,316,084.08/7,791.20
  6. Step 6: Final answer
    x = 4,661.17

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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.