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Finding the Fourth Proportional to 28,660.50, 42,993.18 and 7,884

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Solution

The fourth proportional to 28,660.50, 42,993.18 and 7,884 is: 11,826.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,660.50 : 42,993.18 = 7,884 : x
  2. Step 2: Convert to fraction form
    28,660.50/42,993.18 = 7,884/x
  3. Step 3: Cross multiply
    28,660.50x = 42,993.18 × 7,884
  4. Step 4: Simplify right side
    28,660.50x = 338,958,231.12
  5. Step 5: Solve for x
    x = 338,958,231.12/28,660.50
  6. Step 6: Final answer
    x = 11,826.67

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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.