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Finding the Fourth Proportional to 7,494.86, 11,242.20 and 2,300.60

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Solution

The fourth proportional to 7,494.86, 11,242.20 and 2,300.60 is: 3,450.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494.86 : 11,242.20 = 2,300.60 : x
  2. Step 2: Convert to fraction form
    7,494.86/11,242.20 = 2,300.60/x
  3. Step 3: Cross multiply
    7,494.86x = 11,242.20 × 2,300.60
  4. Step 4: Simplify right side
    7,494.86x = 25,863,805.32
  5. Step 5: Solve for x
    x = 25,863,805.32/7,494.86
  6. Step 6: Final answer
    x = 3,450.87

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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.