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Finding the Fourth Proportional to 7,664.94, 11,494.97 and 3,281.22

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Solution

The fourth proportional to 7,664.94, 11,494.97 and 3,281.22 is: 4,920.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.94 : 11,494.97 = 3,281.22 : x
  2. Step 2: Convert to fraction form
    7,664.94/11,494.97 = 3,281.22/x
  3. Step 3: Cross multiply
    7,664.94x = 11,494.97 × 3,281.22
  4. Step 4: Simplify right side
    7,664.94x = 37,717,496.71
  5. Step 5: Solve for x
    x = 37,717,496.71/7,664.94
  6. Step 6: Final answer
    x = 4,920.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.