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Finding the Fourth Proportional to 10,654.64, 14,729.98 and 7,997.44

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Solution

The fourth proportional to 10,654.64, 14,729.98 and 7,997.44 is: 11,056.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.64 : 14,729.98 = 7,997.44 : x
  2. Step 2: Convert to fraction form
    10,654.64/14,729.98 = 7,997.44/x
  3. Step 3: Cross multiply
    10,654.64x = 14,729.98 × 7,997.44
  4. Step 4: Simplify right side
    10,654.64x = 117,802,131.25
  5. Step 5: Solve for x
    x = 117,802,131.25/10,654.64
  6. Step 6: Final answer
    x = 11,056.42

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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.