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Finding the Fourth Proportional to 11,638.48, 16,062.29 and 6,859.91

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Solution

The fourth proportional to 11,638.48, 16,062.29 and 6,859.91 is: 9,467.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.48 : 16,062.29 = 6,859.91 : x
  2. Step 2: Convert to fraction form
    11,638.48/16,062.29 = 6,859.91/x
  3. Step 3: Cross multiply
    11,638.48x = 16,062.29 × 6,859.91
  4. Step 4: Simplify right side
    11,638.48x = 110,185,863.79
  5. Step 5: Solve for x
    x = 110,185,863.79/11,638.48
  6. Step 6: Final answer
    x = 9,467.38

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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.