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Finding the Fourth Proportional to 7,778.35, 11,665.13 and 2,230.21

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Solution

The fourth proportional to 7,778.35, 11,665.13 and 2,230.21 is: 3,344.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.35 : 11,665.13 = 2,230.21 : x
  2. Step 2: Convert to fraction form
    7,778.35/11,665.13 = 2,230.21/x
  3. Step 3: Cross multiply
    7,778.35x = 11,665.13 × 2,230.21
  4. Step 4: Simplify right side
    7,778.35x = 26,015,649.26
  5. Step 5: Solve for x
    x = 26,015,649.26/7,778.35
  6. Step 6: Final answer
    x = 3,344.62

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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.