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Finding the Fourth Proportional to 7,057.82, 10,587.24 and 2,377.80

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Solution

The fourth proportional to 7,057.82, 10,587.24 and 2,377.80 is: 3,566.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.82 : 10,587.24 = 2,377.80 : x
  2. Step 2: Convert to fraction form
    7,057.82/10,587.24 = 2,377.80/x
  3. Step 3: Cross multiply
    7,057.82x = 10,587.24 × 2,377.80
  4. Step 4: Simplify right side
    7,057.82x = 25,174,339.27
  5. Step 5: Solve for x
    x = 25,174,339.27/7,057.82
  6. Step 6: Final answer
    x = 3,566.87

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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.