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Finding the Fourth Proportional to 7,744.68, 11,616.98 and 2,814.21

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Solution

The fourth proportional to 7,744.68, 11,616.98 and 2,814.21 is: 4,221.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.68 : 11,616.98 = 2,814.21 : x
  2. Step 2: Convert to fraction form
    7,744.68/11,616.98 = 2,814.21/x
  3. Step 3: Cross multiply
    7,744.68x = 11,616.98 × 2,814.21
  4. Step 4: Simplify right side
    7,744.68x = 32,692,607.21
  5. Step 5: Solve for x
    x = 32,692,607.21/7,744.68
  6. Step 6: Final answer
    x = 4,221.30

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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.