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Finding the Fourth Proportional to 7,406.25, 10,224.83 and 4,895.66

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Solution

The fourth proportional to 7,406.25, 10,224.83 and 4,895.66 is: 6,758.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,406.25 : 10,224.83 = 4,895.66 : x
  2. Step 2: Convert to fraction form
    7,406.25/10,224.83 = 4,895.66/x
  3. Step 3: Cross multiply
    7,406.25x = 10,224.83 × 4,895.66
  4. Step 4: Simplify right side
    7,406.25x = 50,057,215.64
  5. Step 5: Solve for x
    x = 50,057,215.64/7,406.25
  6. Step 6: Final answer
    x = 6,758.78

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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.