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Finding the Fourth Proportional to 10,894.05, 16,340.76 and 6,481.98

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Solution

The fourth proportional to 10,894.05, 16,340.76 and 6,481.98 is: 9,722.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.05 : 16,340.76 = 6,481.98 : x
  2. Step 2: Convert to fraction form
    10,894.05/16,340.76 = 6,481.98/x
  3. Step 3: Cross multiply
    10,894.05x = 16,340.76 × 6,481.98
  4. Step 4: Simplify right side
    10,894.05x = 105,920,479.50
  5. Step 5: Solve for x
    x = 105,920,479.50/10,894.05
  6. Step 6: Final answer
    x = 9,722.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.