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Finding the Fourth Proportional to 8,037.65, 12,056.36 and 2,194.25

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Solution

The fourth proportional to 8,037.65, 12,056.36 and 2,194.25 is: 3,291.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,037.65 : 12,056.36 = 2,194.25 : x
  2. Step 2: Convert to fraction form
    8,037.65/12,056.36 = 2,194.25/x
  3. Step 3: Cross multiply
    8,037.65x = 12,056.36 × 2,194.25
  4. Step 4: Simplify right side
    8,037.65x = 26,454,596.68
  5. Step 5: Solve for x
    x = 26,454,596.68/8,037.65
  6. Step 6: Final answer
    x = 3,291.33

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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.