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Finding the Fourth Proportional to 8,696.67, 13,039.41 and 5,731.66

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Solution

The fourth proportional to 8,696.67, 13,039.41 and 5,731.66 is: 8,593.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,696.67 : 13,039.41 = 5,731.66 : x
  2. Step 2: Convert to fraction form
    8,696.67/13,039.41 = 5,731.66/x
  3. Step 3: Cross multiply
    8,696.67x = 13,039.41 × 5,731.66
  4. Step 4: Simplify right side
    8,696.67x = 74,737,464.72
  5. Step 5: Solve for x
    x = 74,737,464.72/8,696.67
  6. Step 6: Final answer
    x = 8,593.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.