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Finding the Fourth Proportional to 7,649.72, 10,555.21 and 5,135.48

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Solution

The fourth proportional to 7,649.72, 10,555.21 and 5,135.48 is: 7,086.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.72 : 10,555.21 = 5,135.48 : x
  2. Step 2: Convert to fraction form
    7,649.72/10,555.21 = 5,135.48/x
  3. Step 3: Cross multiply
    7,649.72x = 10,555.21 × 5,135.48
  4. Step 4: Simplify right side
    7,649.72x = 54,206,069.85
  5. Step 5: Solve for x
    x = 54,206,069.85/7,649.72
  6. Step 6: Final answer
    x = 7,086.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.