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Finding the Fourth Proportional to 11,974.39, 16,523.60 and 6,937

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Solution

The fourth proportional to 11,974.39, 16,523.60 and 6,937 is: 9,572.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,974.39 : 16,523.60 = 6,937 : x
  2. Step 2: Convert to fraction form
    11,974.39/16,523.60 = 6,937/x
  3. Step 3: Cross multiply
    11,974.39x = 16,523.60 × 6,937
  4. Step 4: Simplify right side
    11,974.39x = 114,624,213.20
  5. Step 5: Solve for x
    x = 114,624,213.20/11,974.39
  6. Step 6: Final answer
    x = 9,572.45

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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.