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Finding the Fourth Proportional to 8,522.24, 11,760.72 and 4,796

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Solution

The fourth proportional to 8,522.24, 11,760.72 and 4,796 is: 6,618.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522.24 : 11,760.72 = 4,796 : x
  2. Step 2: Convert to fraction form
    8,522.24/11,760.72 = 4,796/x
  3. Step 3: Cross multiply
    8,522.24x = 11,760.72 × 4,796
  4. Step 4: Simplify right side
    8,522.24x = 56,404,413.12
  5. Step 5: Solve for x
    x = 56,404,413.12/8,522.24
  6. Step 6: Final answer
    x = 6,618.50

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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.