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Finding the Fourth Proportional to 7,837.85, 11,750.19 and 3,675.67

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Solution

The fourth proportional to 7,837.85, 11,750.19 and 3,675.67 is: 5,510.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837.85 : 11,750.19 = 3,675.67 : x
  2. Step 2: Convert to fraction form
    7,837.85/11,750.19 = 3,675.67/x
  3. Step 3: Cross multiply
    7,837.85x = 11,750.19 × 3,675.67
  4. Step 4: Simplify right side
    7,837.85x = 43,189,820.88
  5. Step 5: Solve for x
    x = 43,189,820.88/7,837.85
  6. Step 6: Final answer
    x = 5,510.42

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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.