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Finding the Fourth Proportional to 8,182.86, 12,275.40 and 3,253.02

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Solution

The fourth proportional to 8,182.86, 12,275.40 and 3,253.02 is: 4,879.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.86 : 12,275.40 = 3,253.02 : x
  2. Step 2: Convert to fraction form
    8,182.86/12,275.40 = 3,253.02/x
  3. Step 3: Cross multiply
    8,182.86x = 12,275.40 × 3,253.02
  4. Step 4: Simplify right side
    8,182.86x = 39,932,121.71
  5. Step 5: Solve for x
    x = 39,932,121.71/8,182.86
  6. Step 6: Final answer
    x = 4,879.97

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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.