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Finding the Fourth Proportional to 8,142.53, 12,215.63 and 2,596.19

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Solution

The fourth proportional to 8,142.53, 12,215.63 and 2,596.19 is: 3,894.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.53 : 12,215.63 = 2,596.19 : x
  2. Step 2: Convert to fraction form
    8,142.53/12,215.63 = 2,596.19/x
  3. Step 3: Cross multiply
    8,142.53x = 12,215.63 × 2,596.19
  4. Step 4: Simplify right side
    8,142.53x = 31,714,096.45
  5. Step 5: Solve for x
    x = 31,714,096.45/8,142.53
  6. Step 6: Final answer
    x = 3,894.87

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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.