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Finding the Fourth Proportional to 7,166.94, 10,747.68 and 3,418.06

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Solution

The fourth proportional to 7,166.94, 10,747.68 and 3,418.06 is: 5,125.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.94 : 10,747.68 = 3,418.06 : x
  2. Step 2: Convert to fraction form
    7,166.94/10,747.68 = 3,418.06/x
  3. Step 3: Cross multiply
    7,166.94x = 10,747.68 × 3,418.06
  4. Step 4: Simplify right side
    7,166.94x = 36,736,175.41
  5. Step 5: Solve for x
    x = 36,736,175.41/7,166.94
  6. Step 6: Final answer
    x = 5,125.78

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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.