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Finding the Fourth Proportional to 7,680.11, 10,614.02 and 5,791.01

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Solution

The fourth proportional to 7,680.11, 10,614.02 and 5,791.01 is: 8,003.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,680.11 : 10,614.02 = 5,791.01 : x
  2. Step 2: Convert to fraction form
    7,680.11/10,614.02 = 5,791.01/x
  3. Step 3: Cross multiply
    7,680.11x = 10,614.02 × 5,791.01
  4. Step 4: Simplify right side
    7,680.11x = 61,465,813.94
  5. Step 5: Solve for x
    x = 61,465,813.94/7,680.11
  6. Step 6: Final answer
    x = 8,003.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.