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Finding the Fourth Proportional to 7,321.16, 10,965.44 and 3,413.72

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Solution

The fourth proportional to 7,321.16, 10,965.44 and 3,413.72 is: 5,112.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,321.16 : 10,965.44 = 3,413.72 : x
  2. Step 2: Convert to fraction form
    7,321.16/10,965.44 = 3,413.72/x
  3. Step 3: Cross multiply
    7,321.16x = 10,965.44 × 3,413.72
  4. Step 4: Simplify right side
    7,321.16x = 37,432,941.84
  5. Step 5: Solve for x
    x = 37,432,941.84/7,321.16
  6. Step 6: Final answer
    x = 5,112.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.