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Finding the Fourth Proportional to 7,342.50, 11,013.81 and 2,148.42

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Solution

The fourth proportional to 7,342.50, 11,013.81 and 2,148.42 is: 3,222.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342.50 : 11,013.81 = 2,148.42 : x
  2. Step 2: Convert to fraction form
    7,342.50/11,013.81 = 2,148.42/x
  3. Step 3: Cross multiply
    7,342.50x = 11,013.81 × 2,148.42
  4. Step 4: Simplify right side
    7,342.50x = 23,662,289.68
  5. Step 5: Solve for x
    x = 23,662,289.68/7,342.50
  6. Step 6: Final answer
    x = 3,222.65

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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.