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Finding the Fourth Proportional to 7,728.86, 11,577.82 and 3,563.16

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Solution

The fourth proportional to 7,728.86, 11,577.82 and 3,563.16 is: 5,337.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.86 : 11,577.82 = 3,563.16 : x
  2. Step 2: Convert to fraction form
    7,728.86/11,577.82 = 3,563.16/x
  3. Step 3: Cross multiply
    7,728.86x = 11,577.82 × 3,563.16
  4. Step 4: Simplify right side
    7,728.86x = 41,253,625.11
  5. Step 5: Solve for x
    x = 41,253,625.11/7,728.86
  6. Step 6: Final answer
    x = 5,337.61

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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.