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Finding the Fourth Proportional to 11,772.93, 16,239.44 and 6,989.63

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Solution

The fourth proportional to 11,772.93, 16,239.44 and 6,989.63 is: 9,641.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.93 : 16,239.44 = 6,989.63 : x
  2. Step 2: Convert to fraction form
    11,772.93/16,239.44 = 6,989.63/x
  3. Step 3: Cross multiply
    11,772.93x = 16,239.44 × 6,989.63
  4. Step 4: Simplify right side
    11,772.93x = 113,507,704.63
  5. Step 5: Solve for x
    x = 113,507,704.63/11,772.93
  6. Step 6: Final answer
    x = 9,641.41

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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.