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Finding the Fourth Proportional to 6,166.12, 8,509.40 and 3,776.48

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Solution

The fourth proportional to 6,166.12, 8,509.40 and 3,776.48 is: 5,211.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.12 : 8,509.40 = 3,776.48 : x
  2. Step 2: Convert to fraction form
    6,166.12/8,509.40 = 3,776.48/x
  3. Step 3: Cross multiply
    6,166.12x = 8,509.40 × 3,776.48
  4. Step 4: Simplify right side
    6,166.12x = 32,135,578.91
  5. Step 5: Solve for x
    x = 32,135,578.91/6,166.12
  6. Step 6: Final answer
    x = 5,211.64

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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.