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Finding the Fourth Proportional to 10,671.62, 16,000.94 and 5,474.66

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Solution

The fourth proportional to 10,671.62, 16,000.94 and 5,474.66 is: 8,208.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.62 : 16,000.94 = 5,474.66 : x
  2. Step 2: Convert to fraction form
    10,671.62/16,000.94 = 5,474.66/x
  3. Step 3: Cross multiply
    10,671.62x = 16,000.94 × 5,474.66
  4. Step 4: Simplify right side
    10,671.62x = 87,599,706.18
  5. Step 5: Solve for x
    x = 87,599,706.18/10,671.62
  6. Step 6: Final answer
    x = 8,208.66

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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.