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Finding the Fourth Proportional to 7,744.95, 11,618.51 and 2,814.03

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Solution

The fourth proportional to 7,744.95, 11,618.51 and 2,814.03 is: 4,221.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.95 : 11,618.51 = 2,814.03 : x
  2. Step 2: Convert to fraction form
    7,744.95/11,618.51 = 2,814.03/x
  3. Step 3: Cross multiply
    7,744.95x = 11,618.51 × 2,814.03
  4. Step 4: Simplify right side
    7,744.95x = 32,694,821.63
  5. Step 5: Solve for x
    x = 32,694,821.63/7,744.95
  6. Step 6: Final answer
    x = 4,221.44

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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.