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Finding the Fourth Proportional to 7,753.96, 11,632 and 2,823.04

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Solution

The fourth proportional to 7,753.96, 11,632 and 2,823.04 is: 4,234.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,753.96 : 11,632 = 2,823.04 : x
  2. Step 2: Convert to fraction form
    7,753.96/11,632 = 2,823.04/x
  3. Step 3: Cross multiply
    7,753.96x = 11,632 × 2,823.04
  4. Step 4: Simplify right side
    7,753.96x = 32,837,601.28
  5. Step 5: Solve for x
    x = 32,837,601.28/7,753.96
  6. Step 6: Final answer
    x = 4,234.95

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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.