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Finding the Fourth Proportional to 8,161.12, 11,262.88 and 4,576.32

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Solution

The fourth proportional to 8,161.12, 11,262.88 and 4,576.32 is: 6,315.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.12 : 11,262.88 = 4,576.32 : x
  2. Step 2: Convert to fraction form
    8,161.12/11,262.88 = 4,576.32/x
  3. Step 3: Cross multiply
    8,161.12x = 11,262.88 × 4,576.32
  4. Step 4: Simplify right side
    8,161.12x = 51,542,543.00
  5. Step 5: Solve for x
    x = 51,542,543.00/8,161.12
  6. Step 6: Final answer
    x = 6,315.62

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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.