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Finding the Fourth Proportional to 8,065.98, 12,099.24 and 2,223

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Solution

The fourth proportional to 8,065.98, 12,099.24 and 2,223 is: 3,334.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,065.98 : 12,099.24 = 2,223 : x
  2. Step 2: Convert to fraction form
    8,065.98/12,099.24 = 2,223/x
  3. Step 3: Cross multiply
    8,065.98x = 12,099.24 × 2,223
  4. Step 4: Simplify right side
    8,065.98x = 26,896,610.52
  5. Step 5: Solve for x
    x = 26,896,610.52/8,065.98
  6. Step 6: Final answer
    x = 3,334.57

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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.