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Finding the Fourth Proportional to 11,610.12, 17,413.80 and 3,817

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Solution

The fourth proportional to 11,610.12, 17,413.80 and 3,817 is: 5,725.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610.12 : 17,413.80 = 3,817 : x
  2. Step 2: Convert to fraction form
    11,610.12/17,413.80 = 3,817/x
  3. Step 3: Cross multiply
    11,610.12x = 17,413.80 × 3,817
  4. Step 4: Simplify right side
    11,610.12x = 66,468,474.60
  5. Step 5: Solve for x
    x = 66,468,474.60/11,610.12
  6. Step 6: Final answer
    x = 5,725.05

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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.