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Finding the Fourth Proportional to 6,873.42, 10,301.67 and 2,709.24

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Solution

The fourth proportional to 6,873.42, 10,301.67 and 2,709.24 is: 4,060.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,873.42 : 10,301.67 = 2,709.24 : x
  2. Step 2: Convert to fraction form
    6,873.42/10,301.67 = 2,709.24/x
  3. Step 3: Cross multiply
    6,873.42x = 10,301.67 × 2,709.24
  4. Step 4: Simplify right side
    6,873.42x = 27,909,696.43
  5. Step 5: Solve for x
    x = 27,909,696.43/6,873.42
  6. Step 6: Final answer
    x = 4,060.53

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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.