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Finding the Fourth Proportional to 6,843.32, 10,261.90 and 2,893.76

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Solution

The fourth proportional to 6,843.32, 10,261.90 and 2,893.76 is: 4,339.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.32 : 10,261.90 = 2,893.76 : x
  2. Step 2: Convert to fraction form
    6,843.32/10,261.90 = 2,893.76/x
  3. Step 3: Cross multiply
    6,843.32x = 10,261.90 × 2,893.76
  4. Step 4: Simplify right side
    6,843.32x = 29,695,475.74
  5. Step 5: Solve for x
    x = 29,695,475.74/6,843.32
  6. Step 6: Final answer
    x = 4,339.34

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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.