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Finding the Fourth Proportional to 11,869.03, 16,379.78 and 6,563.85

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Solution

The fourth proportional to 11,869.03, 16,379.78 and 6,563.85 is: 9,058.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,869.03 : 16,379.78 = 6,563.85 : x
  2. Step 2: Convert to fraction form
    11,869.03/16,379.78 = 6,563.85/x
  3. Step 3: Cross multiply
    11,869.03x = 16,379.78 × 6,563.85
  4. Step 4: Simplify right side
    11,869.03x = 107,514,352.36
  5. Step 5: Solve for x
    x = 107,514,352.36/11,869.03
  6. Step 6: Final answer
    x = 9,058.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.