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Finding the Fourth Proportional to 6,166.31, 8,509.85 and 3,513.21

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Solution

The fourth proportional to 6,166.31, 8,509.85 and 3,513.21 is: 4,848.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.31 : 8,509.85 = 3,513.21 : x
  2. Step 2: Convert to fraction form
    6,166.31/8,509.85 = 3,513.21/x
  3. Step 3: Cross multiply
    6,166.31x = 8,509.85 × 3,513.21
  4. Step 4: Simplify right side
    6,166.31x = 29,896,872.55
  5. Step 5: Solve for x
    x = 29,896,872.55/6,166.31
  6. Step 6: Final answer
    x = 4,848.43

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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.