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Finding the Fourth Proportional to 10,807.75, 16,216.49 and 6,190.75

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Solution

The fourth proportional to 10,807.75, 16,216.49 and 6,190.75 is: 9,288.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.75 : 16,216.49 = 6,190.75 : x
  2. Step 2: Convert to fraction form
    10,807.75/16,216.49 = 6,190.75/x
  3. Step 3: Cross multiply
    10,807.75x = 16,216.49 × 6,190.75
  4. Step 4: Simplify right side
    10,807.75x = 100,392,235.47
  5. Step 5: Solve for x
    x = 100,392,235.47/10,807.75
  6. Step 6: Final answer
    x = 9,288.91

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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.