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Finding the Fourth Proportional to 10,444.30, 14,413.04 and 5,728.60

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Solution

The fourth proportional to 10,444.30, 14,413.04 and 5,728.60 is: 7,905.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444.30 : 14,413.04 = 5,728.60 : x
  2. Step 2: Convert to fraction form
    10,444.30/14,413.04 = 5,728.60/x
  3. Step 3: Cross multiply
    10,444.30x = 14,413.04 × 5,728.60
  4. Step 4: Simplify right side
    10,444.30x = 82,566,512.30
  5. Step 5: Solve for x
    x = 82,566,512.30/10,444.30
  6. Step 6: Final answer
    x = 7,905.41

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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.