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Finding the Fourth Proportional to 8,274.58, 12,411.56 and 2,034.61

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Solution

The fourth proportional to 8,274.58, 12,411.56 and 2,034.61 is: 3,051.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.58 : 12,411.56 = 2,034.61 : x
  2. Step 2: Convert to fraction form
    8,274.58/12,411.56 = 2,034.61/x
  3. Step 3: Cross multiply
    8,274.58x = 12,411.56 × 2,034.61
  4. Step 4: Simplify right side
    8,274.58x = 25,252,658.15
  5. Step 5: Solve for x
    x = 25,252,658.15/8,274.58
  6. Step 6: Final answer
    x = 3,051.84

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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.