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Finding the Fourth Proportional to 10,391.80, 14,338.26 and 6,413.08

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Solution

The fourth proportional to 10,391.80, 14,338.26 and 6,413.08 is: 8,848.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,391.80 : 14,338.26 = 6,413.08 : x
  2. Step 2: Convert to fraction form
    10,391.80/14,338.26 = 6,413.08/x
  3. Step 3: Cross multiply
    10,391.80x = 14,338.26 × 6,413.08
  4. Step 4: Simplify right side
    10,391.80x = 91,952,408.44
  5. Step 5: Solve for x
    x = 91,952,408.44/10,391.80
  6. Step 6: Final answer
    x = 8,848.55

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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.