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Finding the Fourth Proportional to 11,763.85, 16,234.37 and 6,728.53

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Solution

The fourth proportional to 11,763.85, 16,234.37 and 6,728.53 is: 9,285.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.85 : 16,234.37 = 6,728.53 : x
  2. Step 2: Convert to fraction form
    11,763.85/16,234.37 = 6,728.53/x
  3. Step 3: Cross multiply
    11,763.85x = 16,234.37 × 6,728.53
  4. Step 4: Simplify right side
    11,763.85x = 109,233,445.58
  5. Step 5: Solve for x
    x = 109,233,445.58/11,763.85
  6. Step 6: Final answer
    x = 9,285.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.