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Finding the Fourth Proportional to 8,192.97, 12,289.45 and 2,036.97

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Solution

The fourth proportional to 8,192.97, 12,289.45 and 2,036.97 is: 3,055.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.97 : 12,289.45 = 2,036.97 : x
  2. Step 2: Convert to fraction form
    8,192.97/12,289.45 = 2,036.97/x
  3. Step 3: Cross multiply
    8,192.97x = 12,289.45 × 2,036.97
  4. Step 4: Simplify right side
    8,192.97x = 25,033,240.97
  5. Step 5: Solve for x
    x = 25,033,240.97/8,192.97
  6. Step 6: Final answer
    x = 3,055.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.