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Finding the Fourth Proportional to 8,183.56, 11,293.40 and 4,457.56

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Solution

The fourth proportional to 8,183.56, 11,293.40 and 4,457.56 is: 6,151.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.56 : 11,293.40 = 4,457.56 : x
  2. Step 2: Convert to fraction form
    8,183.56/11,293.40 = 4,457.56/x
  3. Step 3: Cross multiply
    8,183.56x = 11,293.40 × 4,457.56
  4. Step 4: Simplify right side
    8,183.56x = 50,341,008.10
  5. Step 5: Solve for x
    x = 50,341,008.10/8,183.56
  6. Step 6: Final answer
    x = 6,151.48

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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.