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Finding the Fourth Proportional to 6,714.09, 10,078.43 and 3,429.95

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Solution

The fourth proportional to 6,714.09, 10,078.43 and 3,429.95 is: 5,148.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.09 : 10,078.43 = 3,429.95 : x
  2. Step 2: Convert to fraction form
    6,714.09/10,078.43 = 3,429.95/x
  3. Step 3: Cross multiply
    6,714.09x = 10,078.43 × 3,429.95
  4. Step 4: Simplify right side
    6,714.09x = 34,568,443.44
  5. Step 5: Solve for x
    x = 34,568,443.44/6,714.09
  6. Step 6: Final answer
    x = 5,148.64

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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.