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Finding the Fourth Proportional to 7,898.33, 11,844.05 and 4,199.67

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Solution

The fourth proportional to 7,898.33, 11,844.05 and 4,199.67 is: 6,297.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898.33 : 11,844.05 = 4,199.67 : x
  2. Step 2: Convert to fraction form
    7,898.33/11,844.05 = 4,199.67/x
  3. Step 3: Cross multiply
    7,898.33x = 11,844.05 × 4,199.67
  4. Step 4: Simplify right side
    7,898.33x = 49,741,101.46
  5. Step 5: Solve for x
    x = 49,741,101.46/7,898.33
  6. Step 6: Final answer
    x = 6,297.67

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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.