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Finding the Fourth Proportional to 7,782.24, 11,669.84 and 2,234.32

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Solution

The fourth proportional to 7,782.24, 11,669.84 and 2,234.32 is: 3,350.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.24 : 11,669.84 = 2,234.32 : x
  2. Step 2: Convert to fraction form
    7,782.24/11,669.84 = 2,234.32/x
  3. Step 3: Cross multiply
    7,782.24x = 11,669.84 × 2,234.32
  4. Step 4: Simplify right side
    7,782.24x = 26,074,156.91
  5. Step 5: Solve for x
    x = 26,074,156.91/7,782.24
  6. Step 6: Final answer
    x = 3,350.47

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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.