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Finding the Fourth Proportional to 8,113.92, 11,196.46 and 4,576.44

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Solution

The fourth proportional to 8,113.92, 11,196.46 and 4,576.44 is: 6,315.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.92 : 11,196.46 = 4,576.44 : x
  2. Step 2: Convert to fraction form
    8,113.92/11,196.46 = 4,576.44/x
  3. Step 3: Cross multiply
    8,113.92x = 11,196.46 × 4,576.44
  4. Step 4: Simplify right side
    8,113.92x = 51,239,927.40
  5. Step 5: Solve for x
    x = 51,239,927.40/8,113.92
  6. Step 6: Final answer
    x = 6,315.06

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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.