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Finding the Fourth Proportional to 8,291.97, 11,443.73 and 6,192.45

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Solution

The fourth proportional to 8,291.97, 11,443.73 and 6,192.45 is: 8,546.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.97 : 11,443.73 = 6,192.45 : x
  2. Step 2: Convert to fraction form
    8,291.97/11,443.73 = 6,192.45/x
  3. Step 3: Cross multiply
    8,291.97x = 11,443.73 × 6,192.45
  4. Step 4: Simplify right side
    8,291.97x = 70,864,725.84
  5. Step 5: Solve for x
    x = 70,864,725.84/8,291.97
  6. Step 6: Final answer
    x = 8,546.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.