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Finding the Fourth Proportional to 11,704.56, 16,153.76 and 6,668.52

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Solution

The fourth proportional to 11,704.56, 16,153.76 and 6,668.52 is: 9,203.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.56 : 16,153.76 = 6,668.52 : x
  2. Step 2: Convert to fraction form
    11,704.56/16,153.76 = 6,668.52/x
  3. Step 3: Cross multiply
    11,704.56x = 16,153.76 × 6,668.52
  4. Step 4: Simplify right side
    11,704.56x = 107,721,671.64
  5. Step 5: Solve for x
    x = 107,721,671.64/11,704.56
  6. Step 6: Final answer
    x = 9,203.39

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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.