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Finding the Fourth Proportional to 6,782.50, 10,219.97 and 5,576.92

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Solution

The fourth proportional to 6,782.50, 10,219.97 and 5,576.92 is: 8,403.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.50 : 10,219.97 = 5,576.92 : x
  2. Step 2: Convert to fraction form
    6,782.50/10,219.97 = 5,576.92/x
  3. Step 3: Cross multiply
    6,782.50x = 10,219.97 × 5,576.92
  4. Step 4: Simplify right side
    6,782.50x = 56,995,901.66
  5. Step 5: Solve for x
    x = 56,995,901.66/6,782.50
  6. Step 6: Final answer
    x = 8,403.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.