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Finding the Fourth Proportional to 11,723.70, 16,178.70 and 6,418.52

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Solution

The fourth proportional to 11,723.70, 16,178.70 and 6,418.52 is: 8,857.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,723.70 : 16,178.70 = 6,418.52 : x
  2. Step 2: Convert to fraction form
    11,723.70/16,178.70 = 6,418.52/x
  3. Step 3: Cross multiply
    11,723.70x = 16,178.70 × 6,418.52
  4. Step 4: Simplify right side
    11,723.70x = 103,843,313.37
  5. Step 5: Solve for x
    x = 103,843,313.37/11,723.70
  6. Step 6: Final answer
    x = 8,857.55

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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.