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Finding the Fourth Proportional to 7,340.75, 11,008.82 and 2,409.23

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Solution

The fourth proportional to 7,340.75, 11,008.82 and 2,409.23 is: 3,613.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,340.75 : 11,008.82 = 2,409.23 : x
  2. Step 2: Convert to fraction form
    7,340.75/11,008.82 = 2,409.23/x
  3. Step 3: Cross multiply
    7,340.75x = 11,008.82 × 2,409.23
  4. Step 4: Simplify right side
    7,340.75x = 26,522,767.36
  5. Step 5: Solve for x
    x = 26,522,767.36/7,340.75
  6. Step 6: Final answer
    x = 3,613.09

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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.