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Finding the Fourth Proportional to 8,400.94, 11,588.49 and 5,251.66

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Solution

The fourth proportional to 8,400.94, 11,588.49 and 5,251.66 is: 7,244.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400.94 : 11,588.49 = 5,251.66 : x
  2. Step 2: Convert to fraction form
    8,400.94/11,588.49 = 5,251.66/x
  3. Step 3: Cross multiply
    8,400.94x = 11,588.49 × 5,251.66
  4. Step 4: Simplify right side
    8,400.94x = 60,858,809.39
  5. Step 5: Solve for x
    x = 60,858,809.39/8,400.94
  6. Step 6: Final answer
    x = 7,244.29

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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.