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Finding the Fourth Proportional to 10,490.94, 15,726.69 and 3,912.12

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Solution

The fourth proportional to 10,490.94, 15,726.69 and 3,912.12 is: 5,864.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.94 : 15,726.69 = 3,912.12 : x
  2. Step 2: Convert to fraction form
    10,490.94/15,726.69 = 3,912.12/x
  3. Step 3: Cross multiply
    10,490.94x = 15,726.69 × 3,912.12
  4. Step 4: Simplify right side
    10,490.94x = 61,524,698.48
  5. Step 5: Solve for x
    x = 61,524,698.48/10,490.94
  6. Step 6: Final answer
    x = 5,864.56

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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.