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Finding the Fourth Proportional to 6,866.07, 10,292.94 and 3,166.41

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Solution

The fourth proportional to 6,866.07, 10,292.94 and 3,166.41 is: 4,746.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.07 : 10,292.94 = 3,166.41 : x
  2. Step 2: Convert to fraction form
    6,866.07/10,292.94 = 3,166.41/x
  3. Step 3: Cross multiply
    6,866.07x = 10,292.94 × 3,166.41
  4. Step 4: Simplify right side
    6,866.07x = 32,591,668.15
  5. Step 5: Solve for x
    x = 32,591,668.15/6,866.07
  6. Step 6: Final answer
    x = 4,746.77

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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.