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Finding the Fourth Proportional to 10,894.58, 16,343.94 and 7,766.84

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Solution

The fourth proportional to 10,894.58, 16,343.94 and 7,766.84 is: 11,651.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.58 : 16,343.94 = 7,766.84 : x
  2. Step 2: Convert to fraction form
    10,894.58/16,343.94 = 7,766.84/x
  3. Step 3: Cross multiply
    10,894.58x = 16,343.94 × 7,766.84
  4. Step 4: Simplify right side
    10,894.58x = 126,940,766.95
  5. Step 5: Solve for x
    x = 126,940,766.95/10,894.58
  6. Step 6: Final answer
    x = 11,651.74

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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.