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Finding the Fourth Proportional to 10,405.37, 15,600.74 and 3,830.70

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Solution

The fourth proportional to 10,405.37, 15,600.74 and 3,830.70 is: 5,743.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.37 : 15,600.74 = 3,830.70 : x
  2. Step 2: Convert to fraction form
    10,405.37/15,600.74 = 3,830.70/x
  3. Step 3: Cross multiply
    10,405.37x = 15,600.74 × 3,830.70
  4. Step 4: Simplify right side
    10,405.37x = 59,761,735.56
  5. Step 5: Solve for x
    x = 59,761,735.56/10,405.37
  6. Step 6: Final answer
    x = 5,743.36

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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.