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Finding the Fourth Proportional to 11,814.12, 17,717.94 and 3,491.64

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Solution

The fourth proportional to 11,814.12, 17,717.94 and 3,491.64 is: 5,236.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.12 : 17,717.94 = 3,491.64 : x
  2. Step 2: Convert to fraction form
    11,814.12/17,717.94 = 3,491.64/x
  3. Step 3: Cross multiply
    11,814.12x = 17,717.94 × 3,491.64
  4. Step 4: Simplify right side
    11,814.12x = 61,864,668.02
  5. Step 5: Solve for x
    x = 61,864,668.02/11,814.12
  6. Step 6: Final answer
    x = 5,236.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.