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Finding the Fourth Proportional to 11,912.30, 17,835.60 and 6,040.22

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Solution

The fourth proportional to 11,912.30, 17,835.60 and 6,040.22 is: 9,043.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,912.30 : 17,835.60 = 6,040.22 : x
  2. Step 2: Convert to fraction form
    11,912.30/17,835.60 = 6,040.22/x
  3. Step 3: Cross multiply
    11,912.30x = 17,835.60 × 6,040.22
  4. Step 4: Simplify right side
    11,912.30x = 107,730,947.83
  5. Step 5: Solve for x
    x = 107,730,947.83/11,912.30
  6. Step 6: Final answer
    x = 9,043.67

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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.