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Finding the Fourth Proportional to 7,776.35, 11,662.79 and 2,229.67

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Solution

The fourth proportional to 7,776.35, 11,662.79 and 2,229.67 is: 3,344.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.35 : 11,662.79 = 2,229.67 : x
  2. Step 2: Convert to fraction form
    7,776.35/11,662.79 = 2,229.67/x
  3. Step 3: Cross multiply
    7,776.35x = 11,662.79 × 2,229.67
  4. Step 4: Simplify right side
    7,776.35x = 26,004,114.67
  5. Step 5: Solve for x
    x = 26,004,114.67/7,776.35
  6. Step 6: Final answer
    x = 3,344.00

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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.