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Finding the Fourth Proportional to 12,097.52, 16,694.51 and 6,792.33

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Solution

The fourth proportional to 12,097.52, 16,694.51 and 6,792.33 is: 9,373.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.52 : 16,694.51 = 6,792.33 : x
  2. Step 2: Convert to fraction form
    12,097.52/16,694.51 = 6,792.33/x
  3. Step 3: Cross multiply
    12,097.52x = 16,694.51 × 6,792.33
  4. Step 4: Simplify right side
    12,097.52x = 113,394,587.15
  5. Step 5: Solve for x
    x = 113,394,587.15/12,097.52
  6. Step 6: Final answer
    x = 9,373.38

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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.