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Finding the Fourth Proportional to 6,767.74, 10,148.23 and 2,324.08

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Solution

The fourth proportional to 6,767.74, 10,148.23 and 2,324.08 is: 3,484.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.74 : 10,148.23 = 2,324.08 : x
  2. Step 2: Convert to fraction form
    6,767.74/10,148.23 = 2,324.08/x
  3. Step 3: Cross multiply
    6,767.74x = 10,148.23 × 2,324.08
  4. Step 4: Simplify right side
    6,767.74x = 23,585,298.38
  5. Step 5: Solve for x
    x = 23,585,298.38/6,767.74
  6. Step 6: Final answer
    x = 3,484.96

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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.