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Finding the Fourth Proportional to 8,238.38, 11,371.01 and 4,703.67

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Solution

The fourth proportional to 8,238.38, 11,371.01 and 4,703.67 is: 6,492.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.38 : 11,371.01 = 4,703.67 : x
  2. Step 2: Convert to fraction form
    8,238.38/11,371.01 = 4,703.67/x
  3. Step 3: Cross multiply
    8,238.38x = 11,371.01 × 4,703.67
  4. Step 4: Simplify right side
    8,238.38x = 53,485,455.09
  5. Step 5: Solve for x
    x = 53,485,455.09/8,238.38
  6. Step 6: Final answer
    x = 6,492.23

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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.