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Finding the Fourth Proportional to 10,797.20, 16,195.80 and 4,228.08

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Solution

The fourth proportional to 10,797.20, 16,195.80 and 4,228.08 is: 6,342.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,797.20 : 16,195.80 = 4,228.08 : x
  2. Step 2: Convert to fraction form
    10,797.20/16,195.80 = 4,228.08/x
  3. Step 3: Cross multiply
    10,797.20x = 16,195.80 × 4,228.08
  4. Step 4: Simplify right side
    10,797.20x = 68,477,138.06
  5. Step 5: Solve for x
    x = 68,477,138.06/10,797.20
  6. Step 6: Final answer
    x = 6,342.12

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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.