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Finding the Fourth Proportional to 11,698.66, 16,144.59 and 6,663.73

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Solution

The fourth proportional to 11,698.66, 16,144.59 and 6,663.73 is: 9,196.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.66 : 16,144.59 = 6,663.73 : x
  2. Step 2: Convert to fraction form
    11,698.66/16,144.59 = 6,663.73/x
  3. Step 3: Cross multiply
    11,698.66x = 16,144.59 × 6,663.73
  4. Step 4: Simplify right side
    11,698.66x = 107,583,188.72
  5. Step 5: Solve for x
    x = 107,583,188.72/11,698.66
  6. Step 6: Final answer
    x = 9,196.20

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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.