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Finding the Fourth Proportional to 7,271.57, 10,033.20 and 4,286.32

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Solution

The fourth proportional to 7,271.57, 10,033.20 and 4,286.32 is: 5,914.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,271.57 : 10,033.20 = 4,286.32 : x
  2. Step 2: Convert to fraction form
    7,271.57/10,033.20 = 4,286.32/x
  3. Step 3: Cross multiply
    7,271.57x = 10,033.20 × 4,286.32
  4. Step 4: Simplify right side
    7,271.57x = 43,005,505.82
  5. Step 5: Solve for x
    x = 43,005,505.82/7,271.57
  6. Step 6: Final answer
    x = 5,914.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.