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Finding the Fourth Proportional to 6,180.77, 8,524.51 and 5,433.14

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Solution

The fourth proportional to 6,180.77, 8,524.51 and 5,433.14 is: 7,493.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180.77 : 8,524.51 = 5,433.14 : x
  2. Step 2: Convert to fraction form
    6,180.77/8,524.51 = 5,433.14/x
  3. Step 3: Cross multiply
    6,180.77x = 8,524.51 × 5,433.14
  4. Step 4: Simplify right side
    6,180.77x = 46,314,863.99
  5. Step 5: Solve for x
    x = 46,314,863.99/6,180.77
  6. Step 6: Final answer
    x = 7,493.38

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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.