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Finding the Fourth Proportional to 7,530.72, 11,296.71 and 3,148.56

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Solution

The fourth proportional to 7,530.72, 11,296.71 and 3,148.56 is: 4,723.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,530.72 : 11,296.71 = 3,148.56 : x
  2. Step 2: Convert to fraction form
    7,530.72/11,296.71 = 3,148.56/x
  3. Step 3: Cross multiply
    7,530.72x = 11,296.71 × 3,148.56
  4. Step 4: Simplify right side
    7,530.72x = 35,568,369.24
  5. Step 5: Solve for x
    x = 35,568,369.24/7,530.72
  6. Step 6: Final answer
    x = 4,723.10

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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.