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Finding the Fourth Proportional to 10,444.62, 14,413.60 and 5,728.92

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Solution

The fourth proportional to 10,444.62, 14,413.60 and 5,728.92 is: 7,905.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444.62 : 14,413.60 = 5,728.92 : x
  2. Step 2: Convert to fraction form
    10,444.62/14,413.60 = 5,728.92/x
  3. Step 3: Cross multiply
    10,444.62x = 14,413.60 × 5,728.92
  4. Step 4: Simplify right side
    10,444.62x = 82,574,361.31
  5. Step 5: Solve for x
    x = 82,574,361.31/10,444.62
  6. Step 6: Final answer
    x = 7,905.92

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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.