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Finding the Fourth Proportional to 8,137.35, 12,192.66 and 7,833.94

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Solution

The fourth proportional to 8,137.35, 12,192.66 and 7,833.94 is: 11,738.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.35 : 12,192.66 = 7,833.94 : x
  2. Step 2: Convert to fraction form
    8,137.35/12,192.66 = 7,833.94/x
  3. Step 3: Cross multiply
    8,137.35x = 12,192.66 × 7,833.94
  4. Step 4: Simplify right side
    8,137.35x = 95,516,536.40
  5. Step 5: Solve for x
    x = 95,516,536.40/8,137.35
  6. Step 6: Final answer
    x = 11,738.04

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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.