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Finding the Fourth Proportional to 7,441.92, 10,268.82 and 4,457.16

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Solution

The fourth proportional to 7,441.92, 10,268.82 and 4,457.16 is: 6,150.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441.92 : 10,268.82 = 4,457.16 : x
  2. Step 2: Convert to fraction form
    7,441.92/10,268.82 = 4,457.16/x
  3. Step 3: Cross multiply
    7,441.92x = 10,268.82 × 4,457.16
  4. Step 4: Simplify right side
    7,441.92x = 45,769,773.75
  5. Step 5: Solve for x
    x = 45,769,773.75/7,441.92
  6. Step 6: Final answer
    x = 6,150.26

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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.