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Finding the Fourth Proportional to 7,496.96, 11,221.86 and 5,143.20

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Solution

The fourth proportional to 7,496.96, 11,221.86 and 5,143.20 is: 7,698.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,496.96 : 11,221.86 = 5,143.20 : x
  2. Step 2: Convert to fraction form
    7,496.96/11,221.86 = 5,143.20/x
  3. Step 3: Cross multiply
    7,496.96x = 11,221.86 × 5,143.20
  4. Step 4: Simplify right side
    7,496.96x = 57,716,311.26
  5. Step 5: Solve for x
    x = 57,716,311.26/7,496.96
  6. Step 6: Final answer
    x = 7,698.63

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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.