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Finding the Fourth Proportional to 8,141.81, 11,240.74 and 6,249.77

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Solution

The fourth proportional to 8,141.81, 11,240.74 and 6,249.77 is: 8,628.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.81 : 11,240.74 = 6,249.77 : x
  2. Step 2: Convert to fraction form
    8,141.81/11,240.74 = 6,249.77/x
  3. Step 3: Cross multiply
    8,141.81x = 11,240.74 × 6,249.77
  4. Step 4: Simplify right side
    8,141.81x = 70,252,039.63
  5. Step 5: Solve for x
    x = 70,252,039.63/8,141.81
  6. Step 6: Final answer
    x = 8,628.55

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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.