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Finding the Fourth Proportional to 8,192.49, 12,278.48 and 3,506.99

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Solution

The fourth proportional to 8,192.49, 12,278.48 and 3,506.99 is: 5,256.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.49 : 12,278.48 = 3,506.99 : x
  2. Step 2: Convert to fraction form
    8,192.49/12,278.48 = 3,506.99/x
  3. Step 3: Cross multiply
    8,192.49x = 12,278.48 × 3,506.99
  4. Step 4: Simplify right side
    8,192.49x = 43,060,427.65
  5. Step 5: Solve for x
    x = 43,060,427.65/8,192.49
  6. Step 6: Final answer
    x = 5,256.09

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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.