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Finding the Fourth Proportional to 8,422.76, 12,633.58 and 2,578.84

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Solution

The fourth proportional to 8,422.76, 12,633.58 and 2,578.84 is: 3,868.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.76 : 12,633.58 = 2,578.84 : x
  2. Step 2: Convert to fraction form
    8,422.76/12,633.58 = 2,578.84/x
  3. Step 3: Cross multiply
    8,422.76x = 12,633.58 × 2,578.84
  4. Step 4: Simplify right side
    8,422.76x = 32,579,981.45
  5. Step 5: Solve for x
    x = 32,579,981.45/8,422.76
  6. Step 6: Final answer
    x = 3,868.09

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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.