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Finding the Fourth Proportional to 12,391.91, 17,100.38 and 7,086.59

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Solution

The fourth proportional to 12,391.91, 17,100.38 and 7,086.59 is: 9,779.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,391.91 : 17,100.38 = 7,086.59 : x
  2. Step 2: Convert to fraction form
    12,391.91/17,100.38 = 7,086.59/x
  3. Step 3: Cross multiply
    12,391.91x = 17,100.38 × 7,086.59
  4. Step 4: Simplify right side
    12,391.91x = 121,183,346.47
  5. Step 5: Solve for x
    x = 121,183,346.47/12,391.91
  6. Step 6: Final answer
    x = 9,779.23

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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.