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Finding the Fourth Proportional to 11,413.69, 15,748.97 and 6,377.72

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Solution

The fourth proportional to 11,413.69, 15,748.97 and 6,377.72 is: 8,800.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,413.69 : 15,748.97 = 6,377.72 : x
  2. Step 2: Convert to fraction form
    11,413.69/15,748.97 = 6,377.72/x
  3. Step 3: Cross multiply
    11,413.69x = 15,748.97 × 6,377.72
  4. Step 4: Simplify right side
    11,413.69x = 100,442,520.95
  5. Step 5: Solve for x
    x = 100,442,520.95/11,413.69
  6. Step 6: Final answer
    x = 8,800.18

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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.