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Finding the Fourth Proportional to 12,566.37, 17,338.03 and 8,092.71

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Solution

The fourth proportional to 12,566.37, 17,338.03 and 8,092.71 is: 11,165.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,566.37 : 17,338.03 = 8,092.71 : x
  2. Step 2: Convert to fraction form
    12,566.37/17,338.03 = 8,092.71/x
  3. Step 3: Cross multiply
    12,566.37x = 17,338.03 × 8,092.71
  4. Step 4: Simplify right side
    12,566.37x = 140,311,648.76
  5. Step 5: Solve for x
    x = 140,311,648.76/12,566.37
  6. Step 6: Final answer
    x = 11,165.65

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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.