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Finding the Fourth Proportional to 11,249.53, 15,524.04 and 6,213.66

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Solution

The fourth proportional to 11,249.53, 15,524.04 and 6,213.66 is: 8,574.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,249.53 : 15,524.04 = 6,213.66 : x
  2. Step 2: Convert to fraction form
    11,249.53/15,524.04 = 6,213.66/x
  3. Step 3: Cross multiply
    11,249.53x = 15,524.04 × 6,213.66
  4. Step 4: Simplify right side
    11,249.53x = 96,461,106.39
  5. Step 5: Solve for x
    x = 96,461,106.39/11,249.53
  6. Step 6: Final answer
    x = 8,574.68

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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.