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Finding the Fourth Proportional to 7,106.74, 10,660.14 and 2,176.37

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Solution

The fourth proportional to 7,106.74, 10,660.14 and 2,176.37 is: 3,264.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.74 : 10,660.14 = 2,176.37 : x
  2. Step 2: Convert to fraction form
    7,106.74/10,660.14 = 2,176.37/x
  3. Step 3: Cross multiply
    7,106.74x = 10,660.14 × 2,176.37
  4. Step 4: Simplify right side
    7,106.74x = 23,200,435.54
  5. Step 5: Solve for x
    x = 23,200,435.54/7,106.74
  6. Step 6: Final answer
    x = 3,264.57

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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.