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Finding the Fourth Proportional to 6,758.64, 10,080.36 and 5,725.44

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Solution

The fourth proportional to 6,758.64, 10,080.36 and 5,725.44 is: 8,539.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758.64 : 10,080.36 = 5,725.44 : x
  2. Step 2: Convert to fraction form
    6,758.64/10,080.36 = 5,725.44/x
  3. Step 3: Cross multiply
    6,758.64x = 10,080.36 × 5,725.44
  4. Step 4: Simplify right side
    6,758.64x = 57,714,496.36
  5. Step 5: Solve for x
    x = 57,714,496.36/6,758.64
  6. Step 6: Final answer
    x = 8,539.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.