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Finding the Fourth Proportional to 11,767.50, 16,235.19 and 6,728.13

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Solution

The fourth proportional to 11,767.50, 16,235.19 and 6,728.13 is: 9,282.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767.50 : 16,235.19 = 6,728.13 : x
  2. Step 2: Convert to fraction form
    11,767.50/16,235.19 = 6,728.13/x
  3. Step 3: Cross multiply
    11,767.50x = 16,235.19 × 6,728.13
  4. Step 4: Simplify right side
    11,767.50x = 109,232,468.89
  5. Step 5: Solve for x
    x = 109,232,468.89/11,767.50
  6. Step 6: Final answer
    x = 9,282.56

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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.