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Finding the Fourth Proportional to 11,668.86, 16,102.89 and 6,363.72

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Solution

The fourth proportional to 11,668.86, 16,102.89 and 6,363.72 is: 8,781.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.86 : 16,102.89 = 6,363.72 : x
  2. Step 2: Convert to fraction form
    11,668.86/16,102.89 = 6,363.72/x
  3. Step 3: Cross multiply
    11,668.86x = 16,102.89 × 6,363.72
  4. Step 4: Simplify right side
    11,668.86x = 102,474,283.15
  5. Step 5: Solve for x
    x = 102,474,283.15/11,668.86
  6. Step 6: Final answer
    x = 8,781.86

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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.