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Finding the Fourth Proportional to 11,638.31, 16,060.38 and 6,333.13

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Solution

The fourth proportional to 11,638.31, 16,060.38 and 6,333.13 is: 8,739.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.31 : 16,060.38 = 6,333.13 : x
  2. Step 2: Convert to fraction form
    11,638.31/16,060.38 = 6,333.13/x
  3. Step 3: Cross multiply
    11,638.31x = 16,060.38 × 6,333.13
  4. Step 4: Simplify right side
    11,638.31x = 101,712,394.09
  5. Step 5: Solve for x
    x = 101,712,394.09/11,638.31
  6. Step 6: Final answer
    x = 8,739.45

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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.