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Finding the Fourth Proportional to 8,230.24, 12,342.12 and 3,610

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Solution

The fourth proportional to 8,230.24, 12,342.12 and 3,610 is: 5,413.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.24 : 12,342.12 = 3,610 : x
  2. Step 2: Convert to fraction form
    8,230.24/12,342.12 = 3,610/x
  3. Step 3: Cross multiply
    8,230.24x = 12,342.12 × 3,610
  4. Step 4: Simplify right side
    8,230.24x = 44,555,053.20
  5. Step 5: Solve for x
    x = 44,555,053.20/8,230.24
  6. Step 6: Final answer
    x = 5,413.58

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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.