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Finding the Fourth Proportional to 8,192.18, 12,214.60 and 8,044.52

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Solution

The fourth proportional to 8,192.18, 12,214.60 and 8,044.52 is: 11,994.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.18 : 12,214.60 = 8,044.52 : x
  2. Step 2: Convert to fraction form
    8,192.18/12,214.60 = 8,044.52/x
  3. Step 3: Cross multiply
    8,192.18x = 12,214.60 × 8,044.52
  4. Step 4: Simplify right side
    8,192.18x = 98,260,593.99
  5. Step 5: Solve for x
    x = 98,260,593.99/8,192.18
  6. Step 6: Final answer
    x = 11,994.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.