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Finding the Fourth Proportional to 11,668.86, 17,503.29 and 4,748.22

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Solution

The fourth proportional to 11,668.86, 17,503.29 and 4,748.22 is: 7,122.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.86 : 17,503.29 = 4,748.22 : x
  2. Step 2: Convert to fraction form
    11,668.86/17,503.29 = 4,748.22/x
  3. Step 3: Cross multiply
    11,668.86x = 17,503.29 × 4,748.22
  4. Step 4: Simplify right side
    11,668.86x = 83,109,471.64
  5. Step 5: Solve for x
    x = 83,109,471.64/11,668.86
  6. Step 6: Final answer
    x = 7,122.33

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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.