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Finding the Fourth Proportional to 11,846.22, 17,775.48 and 4,831.38

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Solution

The fourth proportional to 11,846.22, 17,775.48 and 4,831.38 is: 7,249.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.22 : 17,775.48 = 4,831.38 : x
  2. Step 2: Convert to fraction form
    11,846.22/17,775.48 = 4,831.38/x
  3. Step 3: Cross multiply
    11,846.22x = 17,775.48 × 4,831.38
  4. Step 4: Simplify right side
    11,846.22x = 85,880,098.56
  5. Step 5: Solve for x
    x = 85,880,098.56/11,846.22
  6. Step 6: Final answer
    x = 7,249.58

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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.