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Finding the Fourth Proportional to 11,805.27, 16,218.36 and 10,562.77

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Solution

The fourth proportional to 11,805.27, 16,218.36 and 10,562.77 is: 14,511.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.27 : 16,218.36 = 10,562.77 : x
  2. Step 2: Convert to fraction form
    11,805.27/16,218.36 = 10,562.77/x
  3. Step 3: Cross multiply
    11,805.27x = 16,218.36 × 10,562.77
  4. Step 4: Simplify right side
    11,805.27x = 171,310,806.46
  5. Step 5: Solve for x
    x = 171,310,806.46/11,805.27
  6. Step 6: Final answer
    x = 14,511.38

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Why These Related Problems?

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