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Finding the Fourth Proportional to 7,034.91, 10,542.50 and 5,467.76

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Solution

The fourth proportional to 7,034.91, 10,542.50 and 5,467.76 is: 8,193.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.91 : 10,542.50 = 5,467.76 : x
  2. Step 2: Convert to fraction form
    7,034.91/10,542.50 = 5,467.76/x
  3. Step 3: Cross multiply
    7,034.91x = 10,542.50 × 5,467.76
  4. Step 4: Simplify right side
    7,034.91x = 57,643,859.80
  5. Step 5: Solve for x
    x = 57,643,859.80/7,034.91
  6. Step 6: Final answer
    x = 8,193.97

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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.