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Finding the Fourth Proportional to 11,762.34, 16,231.84 and 6,727.03

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Solution

The fourth proportional to 11,762.34, 16,231.84 and 6,727.03 is: 9,283.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.34 : 16,231.84 = 6,727.03 : x
  2. Step 2: Convert to fraction form
    11,762.34/16,231.84 = 6,727.03/x
  3. Step 3: Cross multiply
    11,762.34x = 16,231.84 × 6,727.03
  4. Step 4: Simplify right side
    11,762.34x = 109,192,074.64
  5. Step 5: Solve for x
    x = 109,192,074.64/11,762.34
  6. Step 6: Final answer
    x = 9,283.19

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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.