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Finding the Fourth Proportional to 10,394.25, 15,597.51 and 3,825.04

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Solution

The fourth proportional to 10,394.25, 15,597.51 and 3,825.04 is: 5,739.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.25 : 15,597.51 = 3,825.04 : x
  2. Step 2: Convert to fraction form
    10,394.25/15,597.51 = 3,825.04/x
  3. Step 3: Cross multiply
    10,394.25x = 15,597.51 × 3,825.04
  4. Step 4: Simplify right side
    10,394.25x = 59,661,099.65
  5. Step 5: Solve for x
    x = 59,661,099.65/10,394.25
  6. Step 6: Final answer
    x = 5,739.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.