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Finding the Fourth Proportional to 8,296.33, 12,444.19 and 2,056.36

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Solution

The fourth proportional to 8,296.33, 12,444.19 and 2,056.36 is: 3,084.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.33 : 12,444.19 = 2,056.36 : x
  2. Step 2: Convert to fraction form
    8,296.33/12,444.19 = 2,056.36/x
  3. Step 3: Cross multiply
    8,296.33x = 12,444.19 × 2,056.36
  4. Step 4: Simplify right side
    8,296.33x = 25,589,724.27
  5. Step 5: Solve for x
    x = 25,589,724.27/8,296.33
  6. Step 6: Final answer
    x = 3,084.46

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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.