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Finding the Fourth Proportional to 7,649.96, 11,475.95 and 3,268.42

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Solution

The fourth proportional to 7,649.96, 11,475.95 and 3,268.42 is: 4,903.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.96 : 11,475.95 = 3,268.42 : x
  2. Step 2: Convert to fraction form
    7,649.96/11,475.95 = 3,268.42/x
  3. Step 3: Cross multiply
    7,649.96x = 11,475.95 × 3,268.42
  4. Step 4: Simplify right side
    7,649.96x = 37,508,179.47
  5. Step 5: Solve for x
    x = 37,508,179.47/7,649.96
  6. Step 6: Final answer
    x = 4,903.06

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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.