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Finding the Fourth Proportional to 6,096.76, 8,413.54 and 3,302.24

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Solution

The fourth proportional to 6,096.76, 8,413.54 and 3,302.24 is: 4,557.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.76 : 8,413.54 = 3,302.24 : x
  2. Step 2: Convert to fraction form
    6,096.76/8,413.54 = 3,302.24/x
  3. Step 3: Cross multiply
    6,096.76x = 8,413.54 × 3,302.24
  4. Step 4: Simplify right side
    6,096.76x = 27,783,528.33
  5. Step 5: Solve for x
    x = 27,783,528.33/6,096.76
  6. Step 6: Final answer
    x = 4,557.10

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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.