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Finding the Fourth Proportional to 11,249.48, 15,524.44 and 6,533.76

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Solution

The fourth proportional to 11,249.48, 15,524.44 and 6,533.76 is: 9,016.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,249.48 : 15,524.44 = 6,533.76 : x
  2. Step 2: Convert to fraction form
    11,249.48/15,524.44 = 6,533.76/x
  3. Step 3: Cross multiply
    11,249.48x = 15,524.44 × 6,533.76
  4. Step 4: Simplify right side
    11,249.48x = 101,432,965.09
  5. Step 5: Solve for x
    x = 101,432,965.09/11,249.48
  6. Step 6: Final answer
    x = 9,016.68

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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.