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Finding the Fourth Proportional to 7,838.48, 11,751.54 and 5,365.80

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Solution

The fourth proportional to 7,838.48, 11,751.54 and 5,365.80 is: 8,044.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.48 : 11,751.54 = 5,365.80 : x
  2. Step 2: Convert to fraction form
    7,838.48/11,751.54 = 5,365.80/x
  3. Step 3: Cross multiply
    7,838.48x = 11,751.54 × 5,365.80
  4. Step 4: Simplify right side
    7,838.48x = 63,056,413.33
  5. Step 5: Solve for x
    x = 63,056,413.33/7,838.48
  6. Step 6: Final answer
    x = 8,044.47

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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.