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Finding the Fourth Proportional to 10,444.78, 14,413.98 and 5,729.05

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Solution

The fourth proportional to 10,444.78, 14,413.98 and 5,729.05 is: 7,906.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444.78 : 14,413.98 = 5,729.05 : x
  2. Step 2: Convert to fraction form
    10,444.78/14,413.98 = 5,729.05/x
  3. Step 3: Cross multiply
    10,444.78x = 14,413.98 × 5,729.05
  4. Step 4: Simplify right side
    10,444.78x = 82,578,412.12
  5. Step 5: Solve for x
    x = 82,578,412.12/10,444.78
  6. Step 6: Final answer
    x = 7,906.19

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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.