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Finding the Fourth Proportional to 8,201.91, 12,284.37 and 3,810.13

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Solution

The fourth proportional to 8,201.91, 12,284.37 and 3,810.13 is: 5,706.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.91 : 12,284.37 = 3,810.13 : x
  2. Step 2: Convert to fraction form
    8,201.91/12,284.37 = 3,810.13/x
  3. Step 3: Cross multiply
    8,201.91x = 12,284.37 × 3,810.13
  4. Step 4: Simplify right side
    8,201.91x = 46,805,015.96
  5. Step 5: Solve for x
    x = 46,805,015.96/8,201.91
  6. Step 6: Final answer
    x = 5,706.60

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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.