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Finding the Fourth Proportional to 8,195.32, 12,292.94 and 2,039.32

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Solution

The fourth proportional to 8,195.32, 12,292.94 and 2,039.32 is: 3,058.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.32 : 12,292.94 = 2,039.32 : x
  2. Step 2: Convert to fraction form
    8,195.32/12,292.94 = 2,039.32/x
  3. Step 3: Cross multiply
    8,195.32x = 12,292.94 × 2,039.32
  4. Step 4: Simplify right side
    8,195.32x = 25,069,238.40
  5. Step 5: Solve for x
    x = 25,069,238.40/8,195.32
  6. Step 6: Final answer
    x = 3,058.97

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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.