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Finding the Fourth Proportional to 6,713.83, 10,071.77 and 3,425.13

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Solution

The fourth proportional to 6,713.83, 10,071.77 and 3,425.13 is: 5,138.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.83 : 10,071.77 = 3,425.13 : x
  2. Step 2: Convert to fraction form
    6,713.83/10,071.77 = 3,425.13/x
  3. Step 3: Cross multiply
    6,713.83x = 10,071.77 × 3,425.13
  4. Step 4: Simplify right side
    6,713.83x = 34,497,121.58
  5. Step 5: Solve for x
    x = 34,497,121.58/6,713.83
  6. Step 6: Final answer
    x = 5,138.22

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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.