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Finding the Fourth Proportional to 11,262.86, 15,542.85 and 6,226.82

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Solution

The fourth proportional to 11,262.86, 15,542.85 and 6,226.82 is: 8,593.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,262.86 : 15,542.85 = 6,226.82 : x
  2. Step 2: Convert to fraction form
    11,262.86/15,542.85 = 6,226.82/x
  3. Step 3: Cross multiply
    11,262.86x = 15,542.85 × 6,226.82
  4. Step 4: Simplify right side
    11,262.86x = 96,782,529.24
  5. Step 5: Solve for x
    x = 96,782,529.24/11,262.86
  6. Step 6: Final answer
    x = 8,593.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.