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Finding the Fourth Proportional to 10,444.31, 14,413.88 and 5,728.90

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Solution

The fourth proportional to 10,444.31, 14,413.88 and 5,728.90 is: 7,906.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444.31 : 14,413.88 = 5,728.90 : x
  2. Step 2: Convert to fraction form
    10,444.31/14,413.88 = 5,728.90/x
  3. Step 3: Cross multiply
    10,444.31x = 14,413.88 × 5,728.90
  4. Step 4: Simplify right side
    10,444.31x = 82,575,677.13
  5. Step 5: Solve for x
    x = 82,575,677.13/10,444.31
  6. Step 6: Final answer
    x = 7,906.28

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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.