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Finding the Fourth Proportional to 10,099.75, 15,149.70 and 3,525.94

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Solution

The fourth proportional to 10,099.75, 15,149.70 and 3,525.94 is: 5,288.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.75 : 15,149.70 = 3,525.94 : x
  2. Step 2: Convert to fraction form
    10,099.75/15,149.70 = 3,525.94/x
  3. Step 3: Cross multiply
    10,099.75x = 15,149.70 × 3,525.94
  4. Step 4: Simplify right side
    10,099.75x = 53,416,933.22
  5. Step 5: Solve for x
    x = 53,416,933.22/10,099.75
  6. Step 6: Final answer
    x = 5,288.94

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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.