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Finding the Fourth Proportional to 11,638.40, 16,061.10 and 6,333.20

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Solution

The fourth proportional to 11,638.40, 16,061.10 and 6,333.20 is: 8,739.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.40 : 16,061.10 = 6,333.20 : x
  2. Step 2: Convert to fraction form
    11,638.40/16,061.10 = 6,333.20/x
  3. Step 3: Cross multiply
    11,638.40x = 16,061.10 × 6,333.20
  4. Step 4: Simplify right side
    11,638.40x = 101,718,078.21
  5. Step 5: Solve for x
    x = 101,718,078.21/11,638.40
  6. Step 6: Final answer
    x = 8,739.87

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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.