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Finding the Fourth Proportional to 6,866.54, 10,296.11 and 2,185.28

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Solution

The fourth proportional to 6,866.54, 10,296.11 and 2,185.28 is: 3,276.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.54 : 10,296.11 = 2,185.28 : x
  2. Step 2: Convert to fraction form
    6,866.54/10,296.11 = 2,185.28/x
  3. Step 3: Cross multiply
    6,866.54x = 10,296.11 × 2,185.28
  4. Step 4: Simplify right side
    6,866.54x = 22,499,883.26
  5. Step 5: Solve for x
    x = 22,499,883.26/6,866.54
  6. Step 6: Final answer
    x = 3,276.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.