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Finding the Fourth Proportional to 8,099.16, 11,176.84 and 4,562.16

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Solution

The fourth proportional to 8,099.16, 11,176.84 and 4,562.16 is: 6,295.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.16 : 11,176.84 = 4,562.16 : x
  2. Step 2: Convert to fraction form
    8,099.16/11,176.84 = 4,562.16/x
  3. Step 3: Cross multiply
    8,099.16x = 11,176.84 × 4,562.16
  4. Step 4: Simplify right side
    8,099.16x = 50,990,532.37
  5. Step 5: Solve for x
    x = 50,990,532.37/8,099.16
  6. Step 6: Final answer
    x = 6,295.78

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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.