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Finding the Fourth Proportional to 8,154.72, 12,232.12 and 1,998.72

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Solution

The fourth proportional to 8,154.72, 12,232.12 and 1,998.72 is: 2,998.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.72 : 12,232.12 = 1,998.72 : x
  2. Step 2: Convert to fraction form
    8,154.72/12,232.12 = 1,998.72/x
  3. Step 3: Cross multiply
    8,154.72x = 12,232.12 × 1,998.72
  4. Step 4: Simplify right side
    8,154.72x = 24,448,582.89
  5. Step 5: Solve for x
    x = 24,448,582.89/8,154.72
  6. Step 6: Final answer
    x = 2,998.09

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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.