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Finding the Fourth Proportional to 6,166.26, 8,509.46 and 3,513.78

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Solution

The fourth proportional to 6,166.26, 8,509.46 and 3,513.78 is: 4,849.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.26 : 8,509.46 = 3,513.78 : x
  2. Step 2: Convert to fraction form
    6,166.26/8,509.46 = 3,513.78/x
  3. Step 3: Cross multiply
    6,166.26x = 8,509.46 × 3,513.78
  4. Step 4: Simplify right side
    6,166.26x = 29,900,352.79
  5. Step 5: Solve for x
    x = 29,900,352.79/6,166.26
  6. Step 6: Final answer
    x = 4,849.03

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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.