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Finding the Fourth Proportional to 10,413.70, 15,611.10 and 3,838.30

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Solution

The fourth proportional to 10,413.70, 15,611.10 and 3,838.30 is: 5,753.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,413.70 : 15,611.10 = 3,838.30 : x
  2. Step 2: Convert to fraction form
    10,413.70/15,611.10 = 3,838.30/x
  3. Step 3: Cross multiply
    10,413.70x = 15,611.10 × 3,838.30
  4. Step 4: Simplify right side
    10,413.70x = 59,920,085.13
  5. Step 5: Solve for x
    x = 59,920,085.13/10,413.70
  6. Step 6: Final answer
    x = 5,753.97

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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.