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Finding the Fourth Proportional to 10,198.98, 15,288.13 and 6,912.40

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Solution

The fourth proportional to 10,198.98, 15,288.13 and 6,912.40 is: 10,361.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,198.98 : 15,288.13 = 6,912.40 : x
  2. Step 2: Convert to fraction form
    10,198.98/15,288.13 = 6,912.40/x
  3. Step 3: Cross multiply
    10,198.98x = 15,288.13 × 6,912.40
  4. Step 4: Simplify right side
    10,198.98x = 105,677,669.81
  5. Step 5: Solve for x
    x = 105,677,669.81/10,198.98
  6. Step 6: Final answer
    x = 10,361.59

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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.