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Finding the Fourth Proportional to 11,972.70, 16,522.64 and 6,937.13

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Solution

The fourth proportional to 11,972.70, 16,522.64 and 6,937.13 is: 9,573.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,972.70 : 16,522.64 = 6,937.13 : x
  2. Step 2: Convert to fraction form
    11,972.70/16,522.64 = 6,937.13/x
  3. Step 3: Cross multiply
    11,972.70x = 16,522.64 × 6,937.13
  4. Step 4: Simplify right side
    11,972.70x = 114,619,584.32
  5. Step 5: Solve for x
    x = 114,619,584.32/11,972.70
  6. Step 6: Final answer
    x = 9,573.41

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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.