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Finding the Fourth Proportional to 8,422.01, 12,632.56 and 2,578.64

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Solution

The fourth proportional to 8,422.01, 12,632.56 and 2,578.64 is: 3,867.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.01 : 12,632.56 = 2,578.64 : x
  2. Step 2: Convert to fraction form
    8,422.01/12,632.56 = 2,578.64/x
  3. Step 3: Cross multiply
    8,422.01x = 12,632.56 × 2,578.64
  4. Step 4: Simplify right side
    8,422.01x = 32,574,754.91
  5. Step 5: Solve for x
    x = 32,574,754.91/8,422.01
  6. Step 6: Final answer
    x = 3,867.81

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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.