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Finding the Fourth Proportional to 11,782.34, 17,652.74 and 6,223.44

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Solution

The fourth proportional to 11,782.34, 17,652.74 and 6,223.44 is: 9,324.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.34 : 17,652.74 = 6,223.44 : x
  2. Step 2: Convert to fraction form
    11,782.34/17,652.74 = 6,223.44/x
  3. Step 3: Cross multiply
    11,782.34x = 17,652.74 × 6,223.44
  4. Step 4: Simplify right side
    11,782.34x = 109,860,768.23
  5. Step 5: Solve for x
    x = 109,860,768.23/11,782.34
  6. Step 6: Final answer
    x = 9,324.19

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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.