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Finding the Fourth Proportional to 8,427.44, 12,637 and 2,582.64

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Solution

The fourth proportional to 8,427.44, 12,637 and 2,582.64 is: 3,872.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.44 : 12,637 = 2,582.64 : x
  2. Step 2: Convert to fraction form
    8,427.44/12,637 = 2,582.64/x
  3. Step 3: Cross multiply
    8,427.44x = 12,637 × 2,582.64
  4. Step 4: Simplify right side
    8,427.44x = 32,636,821.68
  5. Step 5: Solve for x
    x = 32,636,821.68/8,427.44
  6. Step 6: Final answer
    x = 3,872.69

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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.