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Finding the Fourth Proportional to 6,836.99, 10,254.60 and 2,674.13

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Solution

The fourth proportional to 6,836.99, 10,254.60 and 2,674.13 is: 4,010.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,836.99 : 10,254.60 = 2,674.13 : x
  2. Step 2: Convert to fraction form
    6,836.99/10,254.60 = 2,674.13/x
  3. Step 3: Cross multiply
    6,836.99x = 10,254.60 × 2,674.13
  4. Step 4: Simplify right side
    6,836.99x = 27,422,082.23
  5. Step 5: Solve for x
    x = 27,422,082.23/6,836.99
  6. Step 6: Final answer
    x = 4,010.84

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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.