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Finding the Fourth Proportional to 11,663.26, 16,094.82 and 6,357.96

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Solution

The fourth proportional to 11,663.26, 16,094.82 and 6,357.96 is: 8,773.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663.26 : 16,094.82 = 6,357.96 : x
  2. Step 2: Convert to fraction form
    11,663.26/16,094.82 = 6,357.96/x
  3. Step 3: Cross multiply
    11,663.26x = 16,094.82 × 6,357.96
  4. Step 4: Simplify right side
    11,663.26x = 102,330,221.77
  5. Step 5: Solve for x
    x = 102,330,221.77/11,663.26
  6. Step 6: Final answer
    x = 8,773.72

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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.