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Finding the Fourth Proportional to 8,421.73, 12,632.63 and 2,578.32

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Solution

The fourth proportional to 8,421.73, 12,632.63 and 2,578.32 is: 3,867.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,421.73 : 12,632.63 = 2,578.32 : x
  2. Step 2: Convert to fraction form
    8,421.73/12,632.63 = 2,578.32/x
  3. Step 3: Cross multiply
    8,421.73x = 12,632.63 × 2,578.32
  4. Step 4: Simplify right side
    8,421.73x = 32,570,886.53
  5. Step 5: Solve for x
    x = 32,570,886.53/8,421.73
  6. Step 6: Final answer
    x = 3,867.48

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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.