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Finding the Fourth Proportional to 11,767.42, 16,241.54 and 7,054.44

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Solution

The fourth proportional to 11,767.42, 16,241.54 and 7,054.44 is: 9,736.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767.42 : 16,241.54 = 7,054.44 : x
  2. Step 2: Convert to fraction form
    11,767.42/16,241.54 = 7,054.44/x
  3. Step 3: Cross multiply
    11,767.42x = 16,241.54 × 7,054.44
  4. Step 4: Simplify right side
    11,767.42x = 114,574,969.44
  5. Step 5: Solve for x
    x = 114,574,969.44/11,767.42
  6. Step 6: Final answer
    x = 9,736.63

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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.