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Finding the Fourth Proportional to 11,672.02, 16,107.69 and 6,366.93

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Solution

The fourth proportional to 11,672.02, 16,107.69 and 6,366.93 is: 8,786.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,672.02 : 16,107.69 = 6,366.93 : x
  2. Step 2: Convert to fraction form
    11,672.02/16,107.69 = 6,366.93/x
  3. Step 3: Cross multiply
    11,672.02x = 16,107.69 × 6,366.93
  4. Step 4: Simplify right side
    11,672.02x = 102,556,534.69
  5. Step 5: Solve for x
    x = 102,556,534.69/11,672.02
  6. Step 6: Final answer
    x = 8,786.53

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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.