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Finding the Fourth Proportional to 8,120.94, 12,181.74 and 2,574.16

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Solution

The fourth proportional to 8,120.94, 12,181.74 and 2,574.16 is: 3,861.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,120.94 : 12,181.74 = 2,574.16 : x
  2. Step 2: Convert to fraction form
    8,120.94/12,181.74 = 2,574.16/x
  3. Step 3: Cross multiply
    8,120.94x = 12,181.74 × 2,574.16
  4. Step 4: Simplify right side
    8,120.94x = 31,357,747.84
  5. Step 5: Solve for x
    x = 31,357,747.84/8,120.94
  6. Step 6: Final answer
    x = 3,861.34

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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.