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Finding the Fourth Proportional to 7,457.13, 11,163.83 and 5,228.24

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Solution

The fourth proportional to 7,457.13, 11,163.83 and 5,228.24 is: 7,827.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457.13 : 11,163.83 = 5,228.24 : x
  2. Step 2: Convert to fraction form
    7,457.13/11,163.83 = 5,228.24/x
  3. Step 3: Cross multiply
    7,457.13x = 11,163.83 × 5,228.24
  4. Step 4: Simplify right side
    7,457.13x = 58,367,100.60
  5. Step 5: Solve for x
    x = 58,367,100.60/7,457.13
  6. Step 6: Final answer
    x = 7,827.02

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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.