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Finding the Fourth Proportional to 6,677.20, 10,018.20 and 2,782.80

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Solution

The fourth proportional to 6,677.20, 10,018.20 and 2,782.80 is: 4,175.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,677.20 : 10,018.20 = 2,782.80 : x
  2. Step 2: Convert to fraction form
    6,677.20/10,018.20 = 2,782.80/x
  3. Step 3: Cross multiply
    6,677.20x = 10,018.20 × 2,782.80
  4. Step 4: Simplify right side
    6,677.20x = 27,878,646.96
  5. Step 5: Solve for x
    x = 27,878,646.96/6,677.20
  6. Step 6: Final answer
    x = 4,175.20

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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.