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Finding the Fourth Proportional to 7,649.12, 11,478 and 3,032.48

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Solution

The fourth proportional to 7,649.12, 11,478 and 3,032.48 is: 4,550.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.12 : 11,478 = 3,032.48 : x
  2. Step 2: Convert to fraction form
    7,649.12/11,478 = 3,032.48/x
  3. Step 3: Cross multiply
    7,649.12x = 11,478 × 3,032.48
  4. Step 4: Simplify right side
    7,649.12x = 34,806,805.44
  5. Step 5: Solve for x
    x = 34,806,805.44/7,649.12
  6. Step 6: Final answer
    x = 4,550.43

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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.