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Finding the Fourth Proportional to 11,738.66, 16,198.53 and 6,703.16

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Solution

The fourth proportional to 11,738.66, 16,198.53 and 6,703.16 is: 9,249.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,738.66 : 16,198.53 = 6,703.16 : x
  2. Step 2: Convert to fraction form
    11,738.66/16,198.53 = 6,703.16/x
  3. Step 3: Cross multiply
    11,738.66x = 16,198.53 × 6,703.16
  4. Step 4: Simplify right side
    11,738.66x = 108,581,338.35
  5. Step 5: Solve for x
    x = 108,581,338.35/11,738.66
  6. Step 6: Final answer
    x = 9,249.89

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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.