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Finding the Fourth Proportional to 8,361.64, 11,533.07 and 5,173.92

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Solution

The fourth proportional to 8,361.64, 11,533.07 and 5,173.92 is: 7,136.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,361.64 : 11,533.07 = 5,173.92 : x
  2. Step 2: Convert to fraction form
    8,361.64/11,533.07 = 5,173.92/x
  3. Step 3: Cross multiply
    8,361.64x = 11,533.07 × 5,173.92
  4. Step 4: Simplify right side
    8,361.64x = 59,671,201.42
  5. Step 5: Solve for x
    x = 59,671,201.42/8,361.64
  6. Step 6: Final answer
    x = 7,136.30

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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.