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Finding the Fourth Proportional to 11,830.78, 16,326.49 and 6,795.98

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Solution

The fourth proportional to 11,830.78, 16,326.49 and 6,795.98 is: 9,378.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.78 : 16,326.49 = 6,795.98 : x
  2. Step 2: Convert to fraction form
    11,830.78/16,326.49 = 6,795.98/x
  3. Step 3: Cross multiply
    11,830.78x = 16,326.49 × 6,795.98
  4. Step 4: Simplify right side
    11,830.78x = 110,954,413.63
  5. Step 5: Solve for x
    x = 110,954,413.63/11,830.78
  6. Step 6: Final answer
    x = 9,378.45

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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.