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Finding the Fourth Proportional to 8,099.46, 11,176.74 and 4,563.18

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Solution

The fourth proportional to 8,099.46, 11,176.74 and 4,563.18 is: 6,296.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.46 : 11,176.74 = 4,563.18 : x
  2. Step 2: Convert to fraction form
    8,099.46/11,176.74 = 4,563.18/x
  3. Step 3: Cross multiply
    8,099.46x = 11,176.74 × 4,563.18
  4. Step 4: Simplify right side
    8,099.46x = 51,001,476.43
  5. Step 5: Solve for x
    x = 51,001,476.43/8,099.46
  6. Step 6: Final answer
    x = 6,296.90

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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.