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Finding the Fourth Proportional to 11,638.37, 16,061.00 and 6,333.18

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Solution

The fourth proportional to 11,638.37, 16,061.00 and 6,333.18 is: 8,739.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.37 : 16,061.00 = 6,333.18 : x
  2. Step 2: Convert to fraction form
    11,638.37/16,061.00 = 6,333.18/x
  3. Step 3: Cross multiply
    11,638.37x = 16,061.00 × 6,333.18
  4. Step 4: Simplify right side
    11,638.37x = 101,717,172.31
  5. Step 5: Solve for x
    x = 101,717,172.31/11,638.37
  6. Step 6: Final answer
    x = 8,739.82

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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.