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Finding the Fourth Proportional to 6,675.20, 10,015.20 and 2,780.80

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Solution

The fourth proportional to 6,675.20, 10,015.20 and 2,780.80 is: 4,172.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,675.20 : 10,015.20 = 2,780.80 : x
  2. Step 2: Convert to fraction form
    6,675.20/10,015.20 = 2,780.80/x
  3. Step 3: Cross multiply
    6,675.20x = 10,015.20 × 2,780.80
  4. Step 4: Simplify right side
    6,675.20x = 27,850,268.16
  5. Step 5: Solve for x
    x = 27,850,268.16/6,675.20
  6. Step 6: Final answer
    x = 4,172.20

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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.