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Finding the Fourth Proportional to 7,822.86, 11,716.56 and 5,493.30

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Solution

The fourth proportional to 7,822.86, 11,716.56 and 5,493.30 is: 8,227.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.86 : 11,716.56 = 5,493.30 : x
  2. Step 2: Convert to fraction form
    7,822.86/11,716.56 = 5,493.30/x
  3. Step 3: Cross multiply
    7,822.86x = 11,716.56 × 5,493.30
  4. Step 4: Simplify right side
    7,822.86x = 64,362,579.05
  5. Step 5: Solve for x
    x = 64,362,579.05/7,822.86
  6. Step 6: Final answer
    x = 8,227.50

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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.