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Finding the Fourth Proportional to 7,106.76, 10,661.67 and 2,724.22

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Solution

The fourth proportional to 7,106.76, 10,661.67 and 2,724.22 is: 4,086.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.76 : 10,661.67 = 2,724.22 : x
  2. Step 2: Convert to fraction form
    7,106.76/10,661.67 = 2,724.22/x
  3. Step 3: Cross multiply
    7,106.76x = 10,661.67 × 2,724.22
  4. Step 4: Simplify right side
    7,106.76x = 29,044,734.65
  5. Step 5: Solve for x
    x = 29,044,734.65/7,106.76
  6. Step 6: Final answer
    x = 4,086.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.