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Finding the Fourth Proportional to 8,238.72, 12,317.92 and 7,020.48

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Solution

The fourth proportional to 8,238.72, 12,317.92 and 7,020.48 is: 10,496.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.72 : 12,317.92 = 7,020.48 : x
  2. Step 2: Convert to fraction form
    8,238.72/12,317.92 = 7,020.48/x
  3. Step 3: Cross multiply
    8,238.72x = 12,317.92 × 7,020.48
  4. Step 4: Simplify right side
    8,238.72x = 86,477,711.00
  5. Step 5: Solve for x
    x = 86,477,711.00/8,238.72
  6. Step 6: Final answer
    x = 10,496.50

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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.