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Finding the Fourth Proportional to 6,841.08, 10,259.34 and 2,223

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Solution

The fourth proportional to 6,841.08, 10,259.34 and 2,223 is: 3,333.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.08 : 10,259.34 = 2,223 : x
  2. Step 2: Convert to fraction form
    6,841.08/10,259.34 = 2,223/x
  3. Step 3: Cross multiply
    6,841.08x = 10,259.34 × 2,223
  4. Step 4: Simplify right side
    6,841.08x = 22,806,512.82
  5. Step 5: Solve for x
    x = 22,806,512.82/6,841.08
  6. Step 6: Final answer
    x = 3,333.76

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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.