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Finding the Fourth Proportional to 11,704.68, 16,151.58 and 6,668.72

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Solution

The fourth proportional to 11,704.68, 16,151.58 and 6,668.72 is: 9,202.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.68 : 16,151.58 = 6,668.72 : x
  2. Step 2: Convert to fraction form
    11,704.68/16,151.58 = 6,668.72/x
  3. Step 3: Cross multiply
    11,704.68x = 16,151.58 × 6,668.72
  4. Step 4: Simplify right side
    11,704.68x = 107,710,364.58
  5. Step 5: Solve for x
    x = 107,710,364.58/11,704.68
  6. Step 6: Final answer
    x = 9,202.33

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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.