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Finding the Fourth Proportional to 10,444.84, 14,413.90 and 5,729.16

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Solution

The fourth proportional to 10,444.84, 14,413.90 and 5,729.16 is: 7,906.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444.84 : 14,413.90 = 5,729.16 : x
  2. Step 2: Convert to fraction form
    10,444.84/14,413.90 = 5,729.16/x
  3. Step 3: Cross multiply
    10,444.84x = 14,413.90 × 5,729.16
  4. Step 4: Simplify right side
    10,444.84x = 82,579,539.32
  5. Step 5: Solve for x
    x = 82,579,539.32/10,444.84
  6. Step 6: Final answer
    x = 7,906.25

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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.