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Finding the Fourth Proportional to 5,415.20, 8,122.80 and 5,112.80

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Solution

The fourth proportional to 5,415.20, 8,122.80 and 5,112.80 is: 7,669.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.20 : 8,122.80 = 5,112.80 : x
  2. Step 2: Convert to fraction form
    5,415.20/8,122.80 = 5,112.80/x
  3. Step 3: Cross multiply
    5,415.20x = 8,122.80 × 5,112.80
  4. Step 4: Simplify right side
    5,415.20x = 41,530,251.84
  5. Step 5: Solve for x
    x = 41,530,251.84/5,415.20
  6. Step 6: Final answer
    x = 7,669.20

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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.