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Finding the Fourth Proportional to 11,413.50, 15,750.98 and 6,377.94

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Solution

The fourth proportional to 11,413.50, 15,750.98 and 6,377.94 is: 8,801.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,413.50 : 15,750.98 = 6,377.94 : x
  2. Step 2: Convert to fraction form
    11,413.50/15,750.98 = 6,377.94/x
  3. Step 3: Cross multiply
    11,413.50x = 15,750.98 × 6,377.94
  4. Step 4: Simplify right side
    11,413.50x = 100,458,805.38
  5. Step 5: Solve for x
    x = 100,458,805.38/11,413.50
  6. Step 6: Final answer
    x = 8,801.75

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Why These Related Problems?

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