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Finding the Fourth Proportional to 7,903.44, 11,863.50 and 3,523.92

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Solution

The fourth proportional to 7,903.44, 11,863.50 and 3,523.92 is: 5,289.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,903.44 : 11,863.50 = 3,523.92 : x
  2. Step 2: Convert to fraction form
    7,903.44/11,863.50 = 3,523.92/x
  3. Step 3: Cross multiply
    7,903.44x = 11,863.50 × 3,523.92
  4. Step 4: Simplify right side
    7,903.44x = 41,806,024.92
  5. Step 5: Solve for x
    x = 41,806,024.92/7,903.44
  6. Step 6: Final answer
    x = 5,289.60

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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.