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Finding the Fourth Proportional to 8,538.14, 12,807.86 and 3,275.66

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Solution

The fourth proportional to 8,538.14, 12,807.86 and 3,275.66 is: 4,913.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.14 : 12,807.86 = 3,275.66 : x
  2. Step 2: Convert to fraction form
    8,538.14/12,807.86 = 3,275.66/x
  3. Step 3: Cross multiply
    8,538.14x = 12,807.86 × 3,275.66
  4. Step 4: Simplify right side
    8,538.14x = 41,954,210.33
  5. Step 5: Solve for x
    x = 41,954,210.33/8,538.14
  6. Step 6: Final answer
    x = 4,913.74

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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.