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Finding the Fourth Proportional to 10,930.84, 16,367.12 and 5,725.80

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Solution

The fourth proportional to 10,930.84, 16,367.12 and 5,725.80 is: 8,573.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.84 : 16,367.12 = 5,725.80 : x
  2. Step 2: Convert to fraction form
    10,930.84/16,367.12 = 5,725.80/x
  3. Step 3: Cross multiply
    10,930.84x = 16,367.12 × 5,725.80
  4. Step 4: Simplify right side
    10,930.84x = 93,714,855.70
  5. Step 5: Solve for x
    x = 93,714,855.70/10,930.84
  6. Step 6: Final answer
    x = 8,573.44

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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.