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Finding the Fourth Proportional to 11,932.94, 16,467 and 6,627.65

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Solution

The fourth proportional to 11,932.94, 16,467 and 6,627.65 is: 9,145.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,932.94 : 16,467 = 6,627.65 : x
  2. Step 2: Convert to fraction form
    11,932.94/16,467 = 6,627.65/x
  3. Step 3: Cross multiply
    11,932.94x = 16,467 × 6,627.65
  4. Step 4: Simplify right side
    11,932.94x = 109,137,430.22
  5. Step 5: Solve for x
    x = 109,137,430.22/11,932.94
  6. Step 6: Final answer
    x = 9,145.90

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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.