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Finding the Fourth Proportional to 6,180.75, 8,526.47 and 5,942.05

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Solution

The fourth proportional to 6,180.75, 8,526.47 and 5,942.05 is: 8,197.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180.75 : 8,526.47 = 5,942.05 : x
  2. Step 2: Convert to fraction form
    6,180.75/8,526.47 = 5,942.05/x
  3. Step 3: Cross multiply
    6,180.75x = 8,526.47 × 5,942.05
  4. Step 4: Simplify right side
    6,180.75x = 50,664,668.43
  5. Step 5: Solve for x
    x = 50,664,668.43/6,180.75
  6. Step 6: Final answer
    x = 8,197.17

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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.