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Finding the Fourth Proportional to 6,143.40, 8,472.36 and 5,201.24

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Solution

The fourth proportional to 6,143.40, 8,472.36 and 5,201.24 is: 7,173.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.40 : 8,472.36 = 5,201.24 : x
  2. Step 2: Convert to fraction form
    6,143.40/8,472.36 = 5,201.24/x
  3. Step 3: Cross multiply
    6,143.40x = 8,472.36 × 5,201.24
  4. Step 4: Simplify right side
    6,143.40x = 44,066,777.73
  5. Step 5: Solve for x
    x = 44,066,777.73/6,143.40
  6. Step 6: Final answer
    x = 7,173.03

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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.