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Finding the Fourth Proportional to 11,973.65, 16,522.57 and 6,936.26

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Solution

The fourth proportional to 11,973.65, 16,522.57 and 6,936.26 is: 9,571.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,973.65 : 16,522.57 = 6,936.26 : x
  2. Step 2: Convert to fraction form
    11,973.65/16,522.57 = 6,936.26/x
  3. Step 3: Cross multiply
    11,973.65x = 16,522.57 × 6,936.26
  4. Step 4: Simplify right side
    11,973.65x = 114,604,841.39
  5. Step 5: Solve for x
    x = 114,604,841.39/11,973.65
  6. Step 6: Final answer
    x = 9,571.42

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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.