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Finding the Fourth Proportional to 8,162.33, 12,257.85 and 8,045.46

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Solution

The fourth proportional to 8,162.33, 12,257.85 and 8,045.46 is: 12,082.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.33 : 12,257.85 = 8,045.46 : x
  2. Step 2: Convert to fraction form
    8,162.33/12,257.85 = 8,045.46/x
  3. Step 3: Cross multiply
    8,162.33x = 12,257.85 × 8,045.46
  4. Step 4: Simplify right side
    8,162.33x = 98,620,026.78
  5. Step 5: Solve for x
    x = 98,620,026.78/8,162.33
  6. Step 6: Final answer
    x = 12,082.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.