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Finding the Fourth Proportional to 6,881.65, 10,322.53 and 2,201.69

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Solution

The fourth proportional to 6,881.65, 10,322.53 and 2,201.69 is: 3,302.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.65 : 10,322.53 = 2,201.69 : x
  2. Step 2: Convert to fraction form
    6,881.65/10,322.53 = 2,201.69/x
  3. Step 3: Cross multiply
    6,881.65x = 10,322.53 × 2,201.69
  4. Step 4: Simplify right side
    6,881.65x = 22,727,042.80
  5. Step 5: Solve for x
    x = 22,727,042.80/6,881.65
  6. Step 6: Final answer
    x = 3,302.56

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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.