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Finding the Fourth Proportional to 11,638.46, 16,061.02 and 6,333.37

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Solution

The fourth proportional to 11,638.46, 16,061.02 and 6,333.37 is: 8,740.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.46 : 16,061.02 = 6,333.37 : x
  2. Step 2: Convert to fraction form
    11,638.46/16,061.02 = 6,333.37/x
  3. Step 3: Cross multiply
    11,638.46x = 16,061.02 × 6,333.37
  4. Step 4: Simplify right side
    11,638.46x = 101,720,326.25
  5. Step 5: Solve for x
    x = 101,720,326.25/11,638.46
  6. Step 6: Final answer
    x = 8,740.01

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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.