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Finding the Fourth Proportional to 7,888.38, 10,879.09 and 6,825.80

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Solution

The fourth proportional to 7,888.38, 10,879.09 and 6,825.80 is: 9,413.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,888.38 : 10,879.09 = 6,825.80 : x
  2. Step 2: Convert to fraction form
    7,888.38/10,879.09 = 6,825.80/x
  3. Step 3: Cross multiply
    7,888.38x = 10,879.09 × 6,825.80
  4. Step 4: Simplify right side
    7,888.38x = 74,258,492.52
  5. Step 5: Solve for x
    x = 74,258,492.52/7,888.38
  6. Step 6: Final answer
    x = 9,413.66

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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.