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Finding the Fourth Proportional to 11,413.20, 15,750.18 and 6,377.43

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Solution

The fourth proportional to 11,413.20, 15,750.18 and 6,377.43 is: 8,800.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,413.20 : 15,750.18 = 6,377.43 : x
  2. Step 2: Convert to fraction form
    11,413.20/15,750.18 = 6,377.43/x
  3. Step 3: Cross multiply
    11,413.20x = 15,750.18 × 6,377.43
  4. Step 4: Simplify right side
    11,413.20x = 100,445,670.44
  5. Step 5: Solve for x
    x = 100,445,670.44/11,413.20
  6. Step 6: Final answer
    x = 8,800.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.