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Finding the Fourth Proportional to 10,191.79, 14,058.97 and 6,413.55

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Solution

The fourth proportional to 10,191.79, 14,058.97 and 6,413.55 is: 8,847.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,191.79 : 14,058.97 = 6,413.55 : x
  2. Step 2: Convert to fraction form
    10,191.79/14,058.97 = 6,413.55/x
  3. Step 3: Cross multiply
    10,191.79x = 14,058.97 × 6,413.55
  4. Step 4: Simplify right side
    10,191.79x = 90,167,907.04
  5. Step 5: Solve for x
    x = 90,167,907.04/10,191.79
  6. Step 6: Final answer
    x = 8,847.11

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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.