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Finding the Fourth Proportional to 7,744.66, 11,616.79 and 2,814.39

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Solution

The fourth proportional to 7,744.66, 11,616.79 and 2,814.39 is: 4,221.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.66 : 11,616.79 = 2,814.39 : x
  2. Step 2: Convert to fraction form
    7,744.66/11,616.79 = 2,814.39/x
  3. Step 3: Cross multiply
    7,744.66x = 11,616.79 × 2,814.39
  4. Step 4: Simplify right side
    7,744.66x = 32,694,199.61
  5. Step 5: Solve for x
    x = 32,694,199.61/7,744.66
  6. Step 6: Final answer
    x = 4,221.52

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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.