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Finding the Fourth Proportional to 7,410.86, 10,226.30 and 4,224.32

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Solution

The fourth proportional to 7,410.86, 10,226.30 and 4,224.32 is: 5,829.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,410.86 : 10,226.30 = 4,224.32 : x
  2. Step 2: Convert to fraction form
    7,410.86/10,226.30 = 4,224.32/x
  3. Step 3: Cross multiply
    7,410.86x = 10,226.30 × 4,224.32
  4. Step 4: Simplify right side
    7,410.86x = 43,199,163.62
  5. Step 5: Solve for x
    x = 43,199,163.62/7,410.86
  6. Step 6: Final answer
    x = 5,829.17

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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.