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Finding the Fourth Proportional to 6,896.96, 10,345.46 and 2,514.41

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Solution

The fourth proportional to 6,896.96, 10,345.46 and 2,514.41 is: 3,771.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.96 : 10,345.46 = 2,514.41 : x
  2. Step 2: Convert to fraction form
    6,896.96/10,345.46 = 2,514.41/x
  3. Step 3: Cross multiply
    6,896.96x = 10,345.46 × 2,514.41
  4. Step 4: Simplify right side
    6,896.96x = 26,012,728.08
  5. Step 5: Solve for x
    x = 26,012,728.08/6,896.96
  6. Step 6: Final answer
    x = 3,771.62

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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.