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Finding the Fourth Proportional to 8,192.17, 12,290.10 and 2,998

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Solution

The fourth proportional to 8,192.17, 12,290.10 and 2,998 is: 4,497.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.17 : 12,290.10 = 2,998 : x
  2. Step 2: Convert to fraction form
    8,192.17/12,290.10 = 2,998/x
  3. Step 3: Cross multiply
    8,192.17x = 12,290.10 × 2,998
  4. Step 4: Simplify right side
    8,192.17x = 36,845,719.80
  5. Step 5: Solve for x
    x = 36,845,719.80/8,192.17
  6. Step 6: Final answer
    x = 4,497.68

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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.