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Finding the Fourth Proportional to 10,406.82, 15,610.23 and 3,830.58

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Solution

The fourth proportional to 10,406.82, 15,610.23 and 3,830.58 is: 5,745.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.82 : 15,610.23 = 3,830.58 : x
  2. Step 2: Convert to fraction form
    10,406.82/15,610.23 = 3,830.58/x
  3. Step 3: Cross multiply
    10,406.82x = 15,610.23 × 3,830.58
  4. Step 4: Simplify right side
    10,406.82x = 59,796,234.83
  5. Step 5: Solve for x
    x = 59,796,234.83/10,406.82
  6. Step 6: Final answer
    x = 5,745.87

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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.