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Finding the Fourth Proportional to 7,732.77, 10,681.27 and 6,791.75

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Solution

The fourth proportional to 7,732.77, 10,681.27 and 6,791.75 is: 9,381.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.77 : 10,681.27 = 6,791.75 : x
  2. Step 2: Convert to fraction form
    7,732.77/10,681.27 = 6,791.75/x
  3. Step 3: Cross multiply
    7,732.77x = 10,681.27 × 6,791.75
  4. Step 4: Simplify right side
    7,732.77x = 72,544,485.19
  5. Step 5: Solve for x
    x = 72,544,485.19/7,732.77
  6. Step 6: Final answer
    x = 9,381.44

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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.