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Finding the Fourth Proportional to 11,807.27, 16,221.11 and 10,564.77

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Solution

The fourth proportional to 11,807.27, 16,221.11 and 10,564.77 is: 14,514.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.27 : 16,221.11 = 10,564.77 : x
  2. Step 2: Convert to fraction form
    11,807.27/16,221.11 = 10,564.77/x
  3. Step 3: Cross multiply
    11,807.27x = 16,221.11 × 10,564.77
  4. Step 4: Simplify right side
    11,807.27x = 171,372,243.47
  5. Step 5: Solve for x
    x = 171,372,243.47/11,807.27
  6. Step 6: Final answer
    x = 14,514.14

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.