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Finding the Fourth Proportional to 6,824.95, 10,239.92 and 2,877.20

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Solution

The fourth proportional to 6,824.95, 10,239.92 and 2,877.20 is: 4,316.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.95 : 10,239.92 = 2,877.20 : x
  2. Step 2: Convert to fraction form
    6,824.95/10,239.92 = 2,877.20/x
  3. Step 3: Cross multiply
    6,824.95x = 10,239.92 × 2,877.20
  4. Step 4: Simplify right side
    6,824.95x = 29,462,297.82
  5. Step 5: Solve for x
    x = 29,462,297.82/6,824.95
  6. Step 6: Final answer
    x = 4,316.85

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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.