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Finding the Fourth Proportional to 11,831.58, 17,745.21 and 3,065.94

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Solution

The fourth proportional to 11,831.58, 17,745.21 and 3,065.94 is: 4,598.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,831.58 : 17,745.21 = 3,065.94 : x
  2. Step 2: Convert to fraction form
    11,831.58/17,745.21 = 3,065.94/x
  3. Step 3: Cross multiply
    11,831.58x = 17,745.21 × 3,065.94
  4. Step 4: Simplify right side
    11,831.58x = 54,405,749.15
  5. Step 5: Solve for x
    x = 54,405,749.15/11,831.58
  6. Step 6: Final answer
    x = 4,598.35

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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.