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Finding the Fourth Proportional to 7,649.32, 11,472.90 and 3,266.68

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Solution

The fourth proportional to 7,649.32, 11,472.90 and 3,266.68 is: 4,899.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.32 : 11,472.90 = 3,266.68 : x
  2. Step 2: Convert to fraction form
    7,649.32/11,472.90 = 3,266.68/x
  3. Step 3: Cross multiply
    7,649.32x = 11,472.90 × 3,266.68
  4. Step 4: Simplify right side
    7,649.32x = 37,478,292.97
  5. Step 5: Solve for x
    x = 37,478,292.97/7,649.32
  6. Step 6: Final answer
    x = 4,899.56

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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.