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Finding the Fourth Proportional to 7,367.42, 11,048.94 and 2,102.09

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Solution

The fourth proportional to 7,367.42, 11,048.94 and 2,102.09 is: 3,152.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,367.42 : 11,048.94 = 2,102.09 : x
  2. Step 2: Convert to fraction form
    7,367.42/11,048.94 = 2,102.09/x
  3. Step 3: Cross multiply
    7,367.42x = 11,048.94 × 2,102.09
  4. Step 4: Simplify right side
    7,367.42x = 23,225,811.04
  5. Step 5: Solve for x
    x = 23,225,811.04/7,367.42
  6. Step 6: Final answer
    x = 3,152.50

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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.