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Finding the Fourth Proportional to 27,862.65, 41,797.58 and 8,140.86

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Solution

The fourth proportional to 27,862.65, 41,797.58 and 8,140.86 is: 12,212.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,862.65 : 41,797.58 = 8,140.86 : x
  2. Step 2: Convert to fraction form
    27,862.65/41,797.58 = 8,140.86/x
  3. Step 3: Cross multiply
    27,862.65x = 41,797.58 × 8,140.86
  4. Step 4: Simplify right side
    27,862.65x = 340,268,206.41
  5. Step 5: Solve for x
    x = 340,268,206.41/27,862.65
  6. Step 6: Final answer
    x = 12,212.34

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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.