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Finding the Fourth Proportional to 6,675.20, 10,012.80 and 4,083.20

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Solution

The fourth proportional to 6,675.20, 10,012.80 and 4,083.20 is: 6,124.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,675.20 : 10,012.80 = 4,083.20 : x
  2. Step 2: Convert to fraction form
    6,675.20/10,012.80 = 4,083.20/x
  3. Step 3: Cross multiply
    6,675.20x = 10,012.80 × 4,083.20
  4. Step 4: Simplify right side
    6,675.20x = 40,884,264.96
  5. Step 5: Solve for x
    x = 40,884,264.96/6,675.20
  6. Step 6: Final answer
    x = 6,124.80

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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.