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Finding the Fourth Proportional to 6,165.72, 8,507.70 and 3,513.24

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Solution

The fourth proportional to 6,165.72, 8,507.70 and 3,513.24 is: 4,847.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.72 : 8,507.70 = 3,513.24 : x
  2. Step 2: Convert to fraction form
    6,165.72/8,507.70 = 3,513.24/x
  3. Step 3: Cross multiply
    6,165.72x = 8,507.70 × 3,513.24
  4. Step 4: Simplify right side
    6,165.72x = 29,889,591.95
  5. Step 5: Solve for x
    x = 29,889,591.95/6,165.72
  6. Step 6: Final answer
    x = 4,847.71

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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.