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Finding the Fourth Proportional to 11,890, 16,405.38 and 7,042.29

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Solution

The fourth proportional to 11,890, 16,405.38 and 7,042.29 is: 9,716.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,890 : 16,405.38 = 7,042.29 : x
  2. Step 2: Convert to fraction form
    11,890/16,405.38 = 7,042.29/x
  3. Step 3: Cross multiply
    11,890x = 16,405.38 × 7,042.29
  4. Step 4: Simplify right side
    11,890x = 115,531,443.52
  5. Step 5: Solve for x
    x = 115,531,443.52/11,890
  6. Step 6: Final answer
    x = 9,716.69

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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.