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Finding the Fourth Proportional to 11,723.15, 16,177.99 and 6,418.46

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Solution

The fourth proportional to 11,723.15, 16,177.99 and 6,418.46 is: 8,857.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,723.15 : 16,177.99 = 6,418.46 : x
  2. Step 2: Convert to fraction form
    11,723.15/16,177.99 = 6,418.46/x
  3. Step 3: Cross multiply
    11,723.15x = 16,177.99 × 6,418.46
  4. Step 4: Simplify right side
    11,723.15x = 103,837,684.76
  5. Step 5: Solve for x
    x = 103,837,684.76/11,723.15
  6. Step 6: Final answer
    x = 8,857.49

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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.