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Finding the Fourth Proportional to 11,893.64, 17,822.23 and 6,347.77

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Solution

The fourth proportional to 11,893.64, 17,822.23 and 6,347.77 is: 9,511.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.64 : 17,822.23 = 6,347.77 : x
  2. Step 2: Convert to fraction form
    11,893.64/17,822.23 = 6,347.77/x
  3. Step 3: Cross multiply
    11,893.64x = 17,822.23 × 6,347.77
  4. Step 4: Simplify right side
    11,893.64x = 113,131,356.50
  5. Step 5: Solve for x
    x = 113,131,356.50/11,893.64
  6. Step 6: Final answer
    x = 9,511.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.