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Finding the Fourth Proportional to 6,841.09, 10,280.88 and 4,068.26

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Solution

The fourth proportional to 6,841.09, 10,280.88 and 4,068.26 is: 6,113.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.09 : 10,280.88 = 4,068.26 : x
  2. Step 2: Convert to fraction form
    6,841.09/10,280.88 = 4,068.26/x
  3. Step 3: Cross multiply
    6,841.09x = 10,280.88 × 4,068.26
  4. Step 4: Simplify right side
    6,841.09x = 41,825,292.87
  5. Step 5: Solve for x
    x = 41,825,292.87/6,841.09
  6. Step 6: Final answer
    x = 6,113.83

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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.