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Finding the Fourth Proportional to 11,638.05, 16,060.26 and 6,333

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Solution

The fourth proportional to 11,638.05, 16,060.26 and 6,333 is: 8,739.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.05 : 16,060.26 = 6,333 : x
  2. Step 2: Convert to fraction form
    11,638.05/16,060.26 = 6,333/x
  3. Step 3: Cross multiply
    11,638.05x = 16,060.26 × 6,333
  4. Step 4: Simplify right side
    11,638.05x = 101,709,626.58
  5. Step 5: Solve for x
    x = 101,709,626.58/11,638.05
  6. Step 6: Final answer
    x = 8,739.40

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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.