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Finding the Fourth Proportional to 7,777.49, 11,666.21 and 2,230.70

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Solution

The fourth proportional to 7,777.49, 11,666.21 and 2,230.70 is: 3,346.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.49 : 11,666.21 = 2,230.70 : x
  2. Step 2: Convert to fraction form
    7,777.49/11,666.21 = 2,230.70/x
  3. Step 3: Cross multiply
    7,777.49x = 11,666.21 × 2,230.70
  4. Step 4: Simplify right side
    7,777.49x = 26,023,745.16
  5. Step 5: Solve for x
    x = 26,023,745.16/7,777.49
  6. Step 6: Final answer
    x = 3,346.04

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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.