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Finding the Fourth Proportional to 11,863.39, 16,370.04 and 6,557.47

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Solution

The fourth proportional to 11,863.39, 16,370.04 and 6,557.47 is: 9,048.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,863.39 : 16,370.04 = 6,557.47 : x
  2. Step 2: Convert to fraction form
    11,863.39/16,370.04 = 6,557.47/x
  3. Step 3: Cross multiply
    11,863.39x = 16,370.04 × 6,557.47
  4. Step 4: Simplify right side
    11,863.39x = 107,346,046.20
  5. Step 5: Solve for x
    x = 107,346,046.20/11,863.39
  6. Step 6: Final answer
    x = 9,048.51

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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.