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Finding the Fourth Proportional to 8,427.16, 12,634.50 and 4,040.44

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Solution

The fourth proportional to 8,427.16, 12,634.50 and 4,040.44 is: 6,057.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.16 : 12,634.50 = 4,040.44 : x
  2. Step 2: Convert to fraction form
    8,427.16/12,634.50 = 4,040.44/x
  3. Step 3: Cross multiply
    8,427.16x = 12,634.50 × 4,040.44
  4. Step 4: Simplify right side
    8,427.16x = 51,048,939.18
  5. Step 5: Solve for x
    x = 51,048,939.18/8,427.16
  6. Step 6: Final answer
    x = 6,057.67

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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.