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Finding the Fourth Proportional to 7,412.94, 10,229.77 and 4,226.14

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Solution

The fourth proportional to 7,412.94, 10,229.77 and 4,226.14 is: 5,832.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.94 : 10,229.77 = 4,226.14 : x
  2. Step 2: Convert to fraction form
    7,412.94/10,229.77 = 4,226.14/x
  3. Step 3: Cross multiply
    7,412.94x = 10,229.77 × 4,226.14
  4. Step 4: Simplify right side
    7,412.94x = 43,232,403.21
  5. Step 5: Solve for x
    x = 43,232,403.21/7,412.94
  6. Step 6: Final answer
    x = 5,832.02

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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.