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Finding the Fourth Proportional to 11,670.45, 16,105.20 and 6,365.27

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Solution

The fourth proportional to 11,670.45, 16,105.20 and 6,365.27 is: 8,784.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,670.45 : 16,105.20 = 6,365.27 : x
  2. Step 2: Convert to fraction form
    11,670.45/16,105.20 = 6,365.27/x
  3. Step 3: Cross multiply
    11,670.45x = 16,105.20 × 6,365.27
  4. Step 4: Simplify right side
    11,670.45x = 102,513,993.86
  5. Step 5: Solve for x
    x = 102,513,993.86/11,670.45
  6. Step 6: Final answer
    x = 8,784.06

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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.