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Finding the Fourth Proportional to 6,841.76, 10,262.27 and 2,097.90

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Solution

The fourth proportional to 6,841.76, 10,262.27 and 2,097.90 is: 3,146.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.76 : 10,262.27 = 2,097.90 : x
  2. Step 2: Convert to fraction form
    6,841.76/10,262.27 = 2,097.90/x
  3. Step 3: Cross multiply
    6,841.76x = 10,262.27 × 2,097.90
  4. Step 4: Simplify right side
    6,841.76x = 21,529,205.74
  5. Step 5: Solve for x
    x = 21,529,205.74/6,841.76
  6. Step 6: Final answer
    x = 3,146.74

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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.