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Finding the Fourth Proportional to 11,413.84, 17,122.90 and 4,017.46

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Solution

The fourth proportional to 11,413.84, 17,122.90 and 4,017.46 is: 6,026.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,413.84 : 17,122.90 = 4,017.46 : x
  2. Step 2: Convert to fraction form
    11,413.84/17,122.90 = 4,017.46/x
  3. Step 3: Cross multiply
    11,413.84x = 17,122.90 × 4,017.46
  4. Step 4: Simplify right side
    11,413.84x = 68,790,565.83
  5. Step 5: Solve for x
    x = 68,790,565.83/11,413.84
  6. Step 6: Final answer
    x = 6,026.94

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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.