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Finding the Fourth Proportional to 8,191.79, 12,287.71 and 2,492.81

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Solution

The fourth proportional to 8,191.79, 12,287.71 and 2,492.81 is: 3,739.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.79 : 12,287.71 = 2,492.81 : x
  2. Step 2: Convert to fraction form
    8,191.79/12,287.71 = 2,492.81/x
  3. Step 3: Cross multiply
    8,191.79x = 12,287.71 × 2,492.81
  4. Step 4: Simplify right side
    8,191.79x = 30,630,872.72
  5. Step 5: Solve for x
    x = 30,630,872.72/8,191.79
  6. Step 6: Final answer
    x = 3,739.22

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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.