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Finding the Fourth Proportional to 7,287.25, 10,056.41 and 3,975.25

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Solution

The fourth proportional to 7,287.25, 10,056.41 and 3,975.25 is: 5,485.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,287.25 : 10,056.41 = 3,975.25 : x
  2. Step 2: Convert to fraction form
    7,287.25/10,056.41 = 3,975.25/x
  3. Step 3: Cross multiply
    7,287.25x = 10,056.41 × 3,975.25
  4. Step 4: Simplify right side
    7,287.25x = 39,976,743.85
  5. Step 5: Solve for x
    x = 39,976,743.85/7,287.25
  6. Step 6: Final answer
    x = 5,485.85

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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.