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Finding the Fourth Proportional to 10,099.26, 15,147.80 and 3,525.57

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Solution

The fourth proportional to 10,099.26, 15,147.80 and 3,525.57 is: 5,287.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.26 : 15,147.80 = 3,525.57 : x
  2. Step 2: Convert to fraction form
    10,099.26/15,147.80 = 3,525.57/x
  3. Step 3: Cross multiply
    10,099.26x = 15,147.80 × 3,525.57
  4. Step 4: Simplify right side
    10,099.26x = 53,404,629.25
  5. Step 5: Solve for x
    x = 53,404,629.25/10,099.26
  6. Step 6: Final answer
    x = 5,287.97

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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.