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Finding the Fourth Proportional to 11,413.85, 17,120.73 and 4,017.47

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Solution

The fourth proportional to 11,413.85, 17,120.73 and 4,017.47 is: 6,026.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,413.85 : 17,120.73 = 4,017.47 : x
  2. Step 2: Convert to fraction form
    11,413.85/17,120.73 = 4,017.47/x
  3. Step 3: Cross multiply
    11,413.85x = 17,120.73 × 4,017.47
  4. Step 4: Simplify right side
    11,413.85x = 68,781,948.61
  5. Step 5: Solve for x
    x = 68,781,948.61/11,413.85
  6. Step 6: Final answer
    x = 6,026.19

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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.