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Finding the Fourth Proportional to 8,383.16, 12,574.74 and 3,192.68

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Solution

The fourth proportional to 8,383.16, 12,574.74 and 3,192.68 is: 4,789.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.16 : 12,574.74 = 3,192.68 : x
  2. Step 2: Convert to fraction form
    8,383.16/12,574.74 = 3,192.68/x
  3. Step 3: Cross multiply
    8,383.16x = 12,574.74 × 3,192.68
  4. Step 4: Simplify right side
    8,383.16x = 40,147,120.90
  5. Step 5: Solve for x
    x = 40,147,120.90/8,383.16
  6. Step 6: Final answer
    x = 4,789.02

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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.