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Finding the Fourth Proportional to 8,143.72, 12,211.02 and 2,596.06

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Solution

The fourth proportional to 8,143.72, 12,211.02 and 2,596.06 is: 3,892.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.72 : 12,211.02 = 2,596.06 : x
  2. Step 2: Convert to fraction form
    8,143.72/12,211.02 = 2,596.06/x
  3. Step 3: Cross multiply
    8,143.72x = 12,211.02 × 2,596.06
  4. Step 4: Simplify right side
    8,143.72x = 31,700,540.58
  5. Step 5: Solve for x
    x = 31,700,540.58/8,143.72
  6. Step 6: Final answer
    x = 3,892.64

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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.