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Finding the Fourth Proportional to 11,639.44, 16,062.12 and 6,859.83

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Solution

The fourth proportional to 11,639.44, 16,062.12 and 6,859.83 is: 9,466.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,639.44 : 16,062.12 = 6,859.83 : x
  2. Step 2: Convert to fraction form
    11,639.44/16,062.12 = 6,859.83/x
  3. Step 3: Cross multiply
    11,639.44x = 16,062.12 × 6,859.83
  4. Step 4: Simplify right side
    11,639.44x = 110,183,412.64
  5. Step 5: Solve for x
    x = 110,183,412.64/11,639.44
  6. Step 6: Final answer
    x = 9,466.38

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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.