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Finding the Fourth Proportional to 8,300.34, 11,438.69 and 5,938.38

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Solution

The fourth proportional to 8,300.34, 11,438.69 and 5,938.38 is: 8,183.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,300.34 : 11,438.69 = 5,938.38 : x
  2. Step 2: Convert to fraction form
    8,300.34/11,438.69 = 5,938.38/x
  3. Step 3: Cross multiply
    8,300.34x = 11,438.69 × 5,938.38
  4. Step 4: Simplify right side
    8,300.34x = 67,927,258.23
  5. Step 5: Solve for x
    x = 67,927,258.23/8,300.34
  6. Step 6: Final answer
    x = 8,183.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.