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Finding the Fourth Proportional to 8,732.22, 12,057.72 and 8,099.07

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Solution

The fourth proportional to 8,732.22, 12,057.72 and 8,099.07 is: 11,183.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,732.22 : 12,057.72 = 8,099.07 : x
  2. Step 2: Convert to fraction form
    8,732.22/12,057.72 = 8,099.07/x
  3. Step 3: Cross multiply
    8,732.22x = 12,057.72 × 8,099.07
  4. Step 4: Simplify right side
    8,732.22x = 97,656,318.32
  5. Step 5: Solve for x
    x = 97,656,318.32/8,732.22
  6. Step 6: Final answer
    x = 11,183.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.