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Finding the Fourth Proportional to 8,020.24, 12,030.36 and 3,400

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Solution

The fourth proportional to 8,020.24, 12,030.36 and 3,400 is: 5,100

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020.24 : 12,030.36 = 3,400 : x
  2. Step 2: Convert to fraction form
    8,020.24/12,030.36 = 3,400/x
  3. Step 3: Cross multiply
    8,020.24x = 12,030.36 × 3,400
  4. Step 4: Simplify right side
    8,020.24x = 40,903,224
  5. Step 5: Solve for x
    x = 40,903,224/8,020.24
  6. Step 6: Final answer
    x = 5,100

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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.