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Finding the Fourth Proportional to 6,704.32, 10,056.48 and 4,254.88

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Solution

The fourth proportional to 6,704.32, 10,056.48 and 4,254.88 is: 6,382.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.32 : 10,056.48 = 4,254.88 : x
  2. Step 2: Convert to fraction form
    6,704.32/10,056.48 = 4,254.88/x
  3. Step 3: Cross multiply
    6,704.32x = 10,056.48 × 4,254.88
  4. Step 4: Simplify right side
    6,704.32x = 42,789,115.62
  5. Step 5: Solve for x
    x = 42,789,115.62/6,704.32
  6. Step 6: Final answer
    x = 6,382.32

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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.