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Finding the Fourth Proportional to 11,797.20, 16,285.12 and 7,824.15

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Solution

The fourth proportional to 11,797.20, 16,285.12 and 7,824.15 is: 10,800.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.20 : 16,285.12 = 7,824.15 : x
  2. Step 2: Convert to fraction form
    11,797.20/16,285.12 = 7,824.15/x
  3. Step 3: Cross multiply
    11,797.20x = 16,285.12 × 7,824.15
  4. Step 4: Simplify right side
    11,797.20x = 127,417,202.09
  5. Step 5: Solve for x
    x = 127,417,202.09/11,797.20
  6. Step 6: Final answer
    x = 10,800.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.