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Finding the Fourth Proportional to 8,228.99, 12,344.06 and 2,964.67

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Solution

The fourth proportional to 8,228.99, 12,344.06 and 2,964.67 is: 4,447.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.99 : 12,344.06 = 2,964.67 : x
  2. Step 2: Convert to fraction form
    8,228.99/12,344.06 = 2,964.67/x
  3. Step 3: Cross multiply
    8,228.99x = 12,344.06 × 2,964.67
  4. Step 4: Simplify right side
    8,228.99x = 36,596,040.91
  5. Step 5: Solve for x
    x = 36,596,040.91/8,228.99
  6. Step 6: Final answer
    x = 4,447.21

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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.