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Finding the Fourth Proportional to 10,444.22, 14,413.81 and 5,968.16

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Solution

The fourth proportional to 10,444.22, 14,413.81 and 5,968.16 is: 8,236.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444.22 : 14,413.81 = 5,968.16 : x
  2. Step 2: Convert to fraction form
    10,444.22/14,413.81 = 5,968.16/x
  3. Step 3: Cross multiply
    10,444.22x = 14,413.81 × 5,968.16
  4. Step 4: Simplify right side
    10,444.22x = 86,023,870.40
  5. Step 5: Solve for x
    x = 86,023,870.40/10,444.22
  6. Step 6: Final answer
    x = 8,236.51

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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.