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Finding the Fourth Proportional to 7,739.88, 11,612.70 and 3,633

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Solution

The fourth proportional to 7,739.88, 11,612.70 and 3,633 is: 5,450.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,739.88 : 11,612.70 = 3,633 : x
  2. Step 2: Convert to fraction form
    7,739.88/11,612.70 = 3,633/x
  3. Step 3: Cross multiply
    7,739.88x = 11,612.70 × 3,633
  4. Step 4: Simplify right side
    7,739.88x = 42,188,939.10
  5. Step 5: Solve for x
    x = 42,188,939.10/7,739.88
  6. Step 6: Final answer
    x = 5,450.85

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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.