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Finding the Fourth Proportional to 10,794.34, 16,191.51 and 4,222.45

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Solution

The fourth proportional to 10,794.34, 16,191.51 and 4,222.45 is: 6,333.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,794.34 : 16,191.51 = 4,222.45 : x
  2. Step 2: Convert to fraction form
    10,794.34/16,191.51 = 4,222.45/x
  3. Step 3: Cross multiply
    10,794.34x = 16,191.51 × 4,222.45
  4. Step 4: Simplify right side
    10,794.34x = 68,367,841.40
  5. Step 5: Solve for x
    x = 68,367,841.40/10,794.34
  6. Step 6: Final answer
    x = 6,333.68

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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.