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Finding the Fourth Proportional to 11,663.06, 16,095.11 and 6,357.86

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Solution

The fourth proportional to 11,663.06, 16,095.11 and 6,357.86 is: 8,773.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663.06 : 16,095.11 = 6,357.86 : x
  2. Step 2: Convert to fraction form
    11,663.06/16,095.11 = 6,357.86/x
  3. Step 3: Cross multiply
    11,663.06x = 16,095.11 × 6,357.86
  4. Step 4: Simplify right side
    11,663.06x = 102,330,456.06
  5. Step 5: Solve for x
    x = 102,330,456.06/11,663.06
  6. Step 6: Final answer
    x = 8,773.89

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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.