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Finding the Fourth Proportional to 7,773.65, 11,662.49 and 2,227.40

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Solution

The fourth proportional to 7,773.65, 11,662.49 and 2,227.40 is: 3,341.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.65 : 11,662.49 = 2,227.40 : x
  2. Step 2: Convert to fraction form
    7,773.65/11,662.49 = 2,227.40/x
  3. Step 3: Cross multiply
    7,773.65x = 11,662.49 × 2,227.40
  4. Step 4: Simplify right side
    7,773.65x = 25,977,086.82
  5. Step 5: Solve for x
    x = 25,977,086.82/7,773.65
  6. Step 6: Final answer
    x = 3,341.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.