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Finding the Fourth Proportional to 10,064.89, 15,099.94 and 3,825.01

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Solution

The fourth proportional to 10,064.89, 15,099.94 and 3,825.01 is: 5,738.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,064.89 : 15,099.94 = 3,825.01 : x
  2. Step 2: Convert to fraction form
    10,064.89/15,099.94 = 3,825.01/x
  3. Step 3: Cross multiply
    10,064.89x = 15,099.94 × 3,825.01
  4. Step 4: Simplify right side
    10,064.89x = 57,757,388.53
  5. Step 5: Solve for x
    x = 57,757,388.53/10,064.89
  6. Step 6: Final answer
    x = 5,738.50

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Why These Related Problems?

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