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Finding the Fourth Proportional to 11,816.37, 17,735.52 and 5,977.08

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Solution

The fourth proportional to 11,816.37, 17,735.52 and 5,977.08 is: 8,971.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,816.37 : 17,735.52 = 5,977.08 : x
  2. Step 2: Convert to fraction form
    11,816.37/17,735.52 = 5,977.08/x
  3. Step 3: Cross multiply
    11,816.37x = 17,735.52 × 5,977.08
  4. Step 4: Simplify right side
    11,816.37x = 106,006,621.88
  5. Step 5: Solve for x
    x = 106,006,621.88/11,816.37
  6. Step 6: Final answer
    x = 8,971.17

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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.