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Finding the Fourth Proportional to 7,664.43, 11,496.68 and 2,327.65

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Solution

The fourth proportional to 7,664.43, 11,496.68 and 2,327.65 is: 3,491.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.43 : 11,496.68 = 2,327.65 : x
  2. Step 2: Convert to fraction form
    7,664.43/11,496.68 = 2,327.65/x
  3. Step 3: Cross multiply
    7,664.43x = 11,496.68 × 2,327.65
  4. Step 4: Simplify right side
    7,664.43x = 26,760,280.22
  5. Step 5: Solve for x
    x = 26,760,280.22/7,664.43
  6. Step 6: Final answer
    x = 3,491.49

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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.