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Finding the Fourth Proportional to 7,701.71, 10,631.23 and 5,996.84

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Solution

The fourth proportional to 7,701.71, 10,631.23 and 5,996.84 is: 8,277.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.71 : 10,631.23 = 5,996.84 : x
  2. Step 2: Convert to fraction form
    7,701.71/10,631.23 = 5,996.84/x
  3. Step 3: Cross multiply
    7,701.71x = 10,631.23 × 5,996.84
  4. Step 4: Simplify right side
    7,701.71x = 63,753,717.16
  5. Step 5: Solve for x
    x = 63,753,717.16/7,701.71
  6. Step 6: Final answer
    x = 8,277.87

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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.