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Finding the Fourth Proportional to 11,744.55, 16,207.47 and 6,439.41

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Solution

The fourth proportional to 11,744.55, 16,207.47 and 6,439.41 is: 8,886.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.55 : 16,207.47 = 6,439.41 : x
  2. Step 2: Convert to fraction form
    11,744.55/16,207.47 = 6,439.41/x
  3. Step 3: Cross multiply
    11,744.55x = 16,207.47 × 6,439.41
  4. Step 4: Simplify right side
    11,744.55x = 104,366,544.39
  5. Step 5: Solve for x
    x = 104,366,544.39/11,744.55
  6. Step 6: Final answer
    x = 8,886.38

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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.