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Finding the Fourth Proportional to 7,443.50, 11,148.84 and 4,148.42

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Solution

The fourth proportional to 7,443.50, 11,148.84 and 4,148.42 is: 6,213.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,443.50 : 11,148.84 = 4,148.42 : x
  2. Step 2: Convert to fraction form
    7,443.50/11,148.84 = 4,148.42/x
  3. Step 3: Cross multiply
    7,443.50x = 11,148.84 × 4,148.42
  4. Step 4: Simplify right side
    7,443.50x = 46,250,015.09
  5. Step 5: Solve for x
    x = 46,250,015.09/7,443.50
  6. Step 6: Final answer
    x = 6,213.48

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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.