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Finding the Fourth Proportional to 7,716.99, 10,649.38 and 4,180.19

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Solution

The fourth proportional to 7,716.99, 10,649.38 and 4,180.19 is: 5,768.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.99 : 10,649.38 = 4,180.19 : x
  2. Step 2: Convert to fraction form
    7,716.99/10,649.38 = 4,180.19/x
  3. Step 3: Cross multiply
    7,716.99x = 10,649.38 × 4,180.19
  4. Step 4: Simplify right side
    7,716.99x = 44,516,410.88
  5. Step 5: Solve for x
    x = 44,516,410.88/7,716.99
  6. Step 6: Final answer
    x = 5,768.62

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Why These Related Problems?

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