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Finding the Fourth Proportional to 6,911.65, 10,368.94 and 2,231.92

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Solution

The fourth proportional to 6,911.65, 10,368.94 and 2,231.92 is: 3,348.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.65 : 10,368.94 = 2,231.92 : x
  2. Step 2: Convert to fraction form
    6,911.65/10,368.94 = 2,231.92/x
  3. Step 3: Cross multiply
    6,911.65x = 10,368.94 × 2,231.92
  4. Step 4: Simplify right side
    6,911.65x = 23,142,644.56
  5. Step 5: Solve for x
    x = 23,142,644.56/6,911.65
  6. Step 6: Final answer
    x = 3,348.36

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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.