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Finding the Fourth Proportional to 7,253.36, 10,871.64 and 3,349.64

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Solution

The fourth proportional to 7,253.36, 10,871.64 and 3,349.64 is: 5,020.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,253.36 : 10,871.64 = 3,349.64 : x
  2. Step 2: Convert to fraction form
    7,253.36/10,871.64 = 3,349.64/x
  3. Step 3: Cross multiply
    7,253.36x = 10,871.64 × 3,349.64
  4. Step 4: Simplify right side
    7,253.36x = 36,416,080.21
  5. Step 5: Solve for x
    x = 36,416,080.21/7,253.36
  6. Step 6: Final answer
    x = 5,020.58

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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.