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Finding the Fourth Proportional to 10,668.38, 14,722.36 and 5,952.69

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Solution

The fourth proportional to 10,668.38, 14,722.36 and 5,952.69 is: 8,214.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,668.38 : 14,722.36 = 5,952.69 : x
  2. Step 2: Convert to fraction form
    10,668.38/14,722.36 = 5,952.69/x
  3. Step 3: Cross multiply
    10,668.38x = 14,722.36 × 5,952.69
  4. Step 4: Simplify right side
    10,668.38x = 87,637,630.27
  5. Step 5: Solve for x
    x = 87,637,630.27/10,668.38
  6. Step 6: Final answer
    x = 8,214.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.