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Finding the Fourth Proportional to 8,384.92, 11,568.18 and 5,871.04

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Solution

The fourth proportional to 8,384.92, 11,568.18 and 5,871.04 is: 8,099.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.92 : 11,568.18 = 5,871.04 : x
  2. Step 2: Convert to fraction form
    8,384.92/11,568.18 = 5,871.04/x
  3. Step 3: Cross multiply
    8,384.92x = 11,568.18 × 5,871.04
  4. Step 4: Simplify right side
    8,384.92x = 67,917,247.51
  5. Step 5: Solve for x
    x = 67,917,247.51/8,384.92
  6. Step 6: Final answer
    x = 8,099.93

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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.