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Finding the Fourth Proportional to 6,233.64, 8,601.84 and 5,057.52

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Solution

The fourth proportional to 6,233.64, 8,601.84 and 5,057.52 is: 6,978.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233.64 : 8,601.84 = 5,057.52 : x
  2. Step 2: Convert to fraction form
    6,233.64/8,601.84 = 5,057.52/x
  3. Step 3: Cross multiply
    6,233.64x = 8,601.84 × 5,057.52
  4. Step 4: Simplify right side
    6,233.64x = 43,503,977.84
  5. Step 5: Solve for x
    x = 43,503,977.84/6,233.64
  6. Step 6: Final answer
    x = 6,978.90

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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.