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Finding the Fourth Proportional to 7,764.96, 11,649.24 and 2,218.38

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Solution

The fourth proportional to 7,764.96, 11,649.24 and 2,218.38 is: 3,328.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.96 : 11,649.24 = 2,218.38 : x
  2. Step 2: Convert to fraction form
    7,764.96/11,649.24 = 2,218.38/x
  3. Step 3: Cross multiply
    7,764.96x = 11,649.24 × 2,218.38
  4. Step 4: Simplify right side
    7,764.96x = 25,842,441.03
  5. Step 5: Solve for x
    x = 25,842,441.03/7,764.96
  6. Step 6: Final answer
    x = 3,328.08

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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.