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Finding the Fourth Proportional to 11,771.82, 16,245.63 and 7,056

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Solution

The fourth proportional to 11,771.82, 16,245.63 and 7,056 is: 9,737.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.82 : 16,245.63 = 7,056 : x
  2. Step 2: Convert to fraction form
    11,771.82/16,245.63 = 7,056/x
  3. Step 3: Cross multiply
    11,771.82x = 16,245.63 × 7,056
  4. Step 4: Simplify right side
    11,771.82x = 114,629,165.28
  5. Step 5: Solve for x
    x = 114,629,165.28/11,771.82
  6. Step 6: Final answer
    x = 9,737.59

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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.