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Finding the Fourth Proportional to 8,421.78, 12,632.76 and 2,578.44

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Solution

The fourth proportional to 8,421.78, 12,632.76 and 2,578.44 is: 3,867.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,421.78 : 12,632.76 = 2,578.44 : x
  2. Step 2: Convert to fraction form
    8,421.78/12,632.76 = 2,578.44/x
  3. Step 3: Cross multiply
    8,421.78x = 12,632.76 × 2,578.44
  4. Step 4: Simplify right side
    8,421.78x = 32,572,813.69
  5. Step 5: Solve for x
    x = 32,572,813.69/8,421.78
  6. Step 6: Final answer
    x = 3,867.69

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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.