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Finding the Fourth Proportional to 11,249.29, 15,524.14 and 6,213.64

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Solution

The fourth proportional to 11,249.29, 15,524.14 and 6,213.64 is: 8,574.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,249.29 : 15,524.14 = 6,213.64 : x
  2. Step 2: Convert to fraction form
    11,249.29/15,524.14 = 6,213.64/x
  3. Step 3: Cross multiply
    11,249.29x = 15,524.14 × 6,213.64
  4. Step 4: Simplify right side
    11,249.29x = 96,461,417.27
  5. Step 5: Solve for x
    x = 96,461,417.27/11,249.29
  6. Step 6: Final answer
    x = 8,574.89

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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.