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Finding the Fourth Proportional to 6,166.80, 8,511.80 and 3,807.58

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Solution

The fourth proportional to 6,166.80, 8,511.80 and 3,807.58 is: 5,255.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.80 : 8,511.80 = 3,807.58 : x
  2. Step 2: Convert to fraction form
    6,166.80/8,511.80 = 3,807.58/x
  3. Step 3: Cross multiply
    6,166.80x = 8,511.80 × 3,807.58
  4. Step 4: Simplify right side
    6,166.80x = 32,409,359.44
  5. Step 5: Solve for x
    x = 32,409,359.44/6,166.80
  6. Step 6: Final answer
    x = 5,255.46

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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.