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Finding the Fourth Proportional to 7,413.84, 10,231.20 and 4,056.64

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Solution

The fourth proportional to 7,413.84, 10,231.20 and 4,056.64 is: 5,598.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413.84 : 10,231.20 = 4,056.64 : x
  2. Step 2: Convert to fraction form
    7,413.84/10,231.20 = 4,056.64/x
  3. Step 3: Cross multiply
    7,413.84x = 10,231.20 × 4,056.64
  4. Step 4: Simplify right side
    7,413.84x = 41,504,295.17
  5. Step 5: Solve for x
    x = 41,504,295.17/7,413.84
  6. Step 6: Final answer
    x = 5,598.22

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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.