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Finding the Fourth Proportional to 6,873.12, 10,300.08 and 3,406.88

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Solution

The fourth proportional to 6,873.12, 10,300.08 and 3,406.88 is: 5,105.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,873.12 : 10,300.08 = 3,406.88 : x
  2. Step 2: Convert to fraction form
    6,873.12/10,300.08 = 3,406.88/x
  3. Step 3: Cross multiply
    6,873.12x = 10,300.08 × 3,406.88
  4. Step 4: Simplify right side
    6,873.12x = 35,091,136.55
  5. Step 5: Solve for x
    x = 35,091,136.55/6,873.12
  6. Step 6: Final answer
    x = 5,105.56

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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.