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Finding the Fourth Proportional to 11,361.28, 17,036.16 and 5,200

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Solution

The fourth proportional to 11,361.28, 17,036.16 and 5,200 is: 7,797.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,361.28 : 17,036.16 = 5,200 : x
  2. Step 2: Convert to fraction form
    11,361.28/17,036.16 = 5,200/x
  3. Step 3: Cross multiply
    11,361.28x = 17,036.16 × 5,200
  4. Step 4: Simplify right side
    11,361.28x = 88,588,032
  5. Step 5: Solve for x
    x = 88,588,032/11,361.28
  6. Step 6: Final answer
    x = 7,797.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.