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Finding the Fourth Proportional to 6,105.74, 8,425.03 and 3,416.94

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Solution

The fourth proportional to 6,105.74, 8,425.03 and 3,416.94 is: 4,714.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.74 : 8,425.03 = 3,416.94 : x
  2. Step 2: Convert to fraction form
    6,105.74/8,425.03 = 3,416.94/x
  3. Step 3: Cross multiply
    6,105.74x = 8,425.03 × 3,416.94
  4. Step 4: Simplify right side
    6,105.74x = 28,787,822.01
  5. Step 5: Solve for x
    x = 28,787,822.01/6,105.74
  6. Step 6: Final answer
    x = 4,714.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.