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Finding the Fourth Proportional to 11,977.05, 17,959.44 and 6,435.06

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Solution

The fourth proportional to 11,977.05, 17,959.44 and 6,435.06 is: 9,649.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,977.05 : 17,959.44 = 6,435.06 : x
  2. Step 2: Convert to fraction form
    11,977.05/17,959.44 = 6,435.06/x
  3. Step 3: Cross multiply
    11,977.05x = 17,959.44 × 6,435.06
  4. Step 4: Simplify right side
    11,977.05x = 115,570,073.97
  5. Step 5: Solve for x
    x = 115,570,073.97/11,977.05
  6. Step 6: Final answer
    x = 9,649.29

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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.