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Finding the Fourth Proportional to 7,633.08, 10,523.18 and 5,271.16

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Solution

The fourth proportional to 7,633.08, 10,523.18 and 5,271.16 is: 7,266.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.08 : 10,523.18 = 5,271.16 : x
  2. Step 2: Convert to fraction form
    7,633.08/10,523.18 = 5,271.16/x
  3. Step 3: Cross multiply
    7,633.08x = 10,523.18 × 5,271.16
  4. Step 4: Simplify right side
    7,633.08x = 55,469,365.49
  5. Step 5: Solve for x
    x = 55,469,365.49/7,633.08
  6. Step 6: Final answer
    x = 7,266.97

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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.