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Finding the Fourth Proportional to 11,975.63, 16,526.39 and 6,940.82

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Solution

The fourth proportional to 11,975.63, 16,526.39 and 6,940.82 is: 9,578.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,975.63 : 16,526.39 = 6,940.82 : x
  2. Step 2: Convert to fraction form
    11,975.63/16,526.39 = 6,940.82/x
  3. Step 3: Cross multiply
    11,975.63x = 16,526.39 × 6,940.82
  4. Step 4: Simplify right side
    11,975.63x = 114,706,698.24
  5. Step 5: Solve for x
    x = 114,706,698.24/11,975.63
  6. Step 6: Final answer
    x = 9,578.34

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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.