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Finding the Fourth Proportional to 10,444.41, 14,413.21 and 5,728.66

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Solution

The fourth proportional to 10,444.41, 14,413.21 and 5,728.66 is: 7,905.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444.41 : 14,413.21 = 5,728.66 : x
  2. Step 2: Convert to fraction form
    10,444.41/14,413.21 = 5,728.66/x
  3. Step 3: Cross multiply
    10,444.41x = 14,413.21 × 5,728.66
  4. Step 4: Simplify right side
    10,444.41x = 82,568,329.24
  5. Step 5: Solve for x
    x = 82,568,329.24/10,444.41
  6. Step 6: Final answer
    x = 7,905.50

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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.