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Finding the Fourth Proportional to 6,797.30, 10,196.78 and 2,415.20

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Solution

The fourth proportional to 6,797.30, 10,196.78 and 2,415.20 is: 3,623.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,797.30 : 10,196.78 = 2,415.20 : x
  2. Step 2: Convert to fraction form
    6,797.30/10,196.78 = 2,415.20/x
  3. Step 3: Cross multiply
    6,797.30x = 10,196.78 × 2,415.20
  4. Step 4: Simplify right side
    6,797.30x = 24,627,200.00
  5. Step 5: Solve for x
    x = 24,627,200.00/6,797.30
  6. Step 6: Final answer
    x = 3,623.09

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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.