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Finding the Fourth Proportional to 6,714.32, 10,064.91 and 3,754.20

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Solution

The fourth proportional to 6,714.32, 10,064.91 and 3,754.20 is: 5,627.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.32 : 10,064.91 = 3,754.20 : x
  2. Step 2: Convert to fraction form
    6,714.32/10,064.91 = 3,754.20/x
  3. Step 3: Cross multiply
    6,714.32x = 10,064.91 × 3,754.20
  4. Step 4: Simplify right side
    6,714.32x = 37,785,659.21
  5. Step 5: Solve for x
    x = 37,785,659.21/6,714.32
  6. Step 6: Final answer
    x = 5,627.62

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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.