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Finding the Fourth Proportional to 7,791.53, 11,680.07 and 3,110.40

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Solution

The fourth proportional to 7,791.53, 11,680.07 and 3,110.40 is: 4,662.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791.53 : 11,680.07 = 3,110.40 : x
  2. Step 2: Convert to fraction form
    7,791.53/11,680.07 = 3,110.40/x
  3. Step 3: Cross multiply
    7,791.53x = 11,680.07 × 3,110.40
  4. Step 4: Simplify right side
    7,791.53x = 36,329,674.18
  5. Step 5: Solve for x
    x = 36,329,674.18/7,791.53
  6. Step 6: Final answer
    x = 4,662.72

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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.