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Finding the Fourth Proportional to 10,730.79, 16,100.64 and 5,794.65

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Solution

The fourth proportional to 10,730.79, 16,100.64 and 5,794.65 is: 8,694.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.79 : 16,100.64 = 5,794.65 : x
  2. Step 2: Convert to fraction form
    10,730.79/16,100.64 = 5,794.65/x
  3. Step 3: Cross multiply
    10,730.79x = 16,100.64 × 5,794.65
  4. Step 4: Simplify right side
    10,730.79x = 93,297,573.58
  5. Step 5: Solve for x
    x = 93,297,573.58/10,730.79
  6. Step 6: Final answer
    x = 8,694.38

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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.