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Finding the Fourth Proportional to 7,394.90, 11,094.50 and 2,778.26

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Solution

The fourth proportional to 7,394.90, 11,094.50 and 2,778.26 is: 4,168.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,394.90 : 11,094.50 = 2,778.26 : x
  2. Step 2: Convert to fraction form
    7,394.90/11,094.50 = 2,778.26/x
  3. Step 3: Cross multiply
    7,394.90x = 11,094.50 × 2,778.26
  4. Step 4: Simplify right side
    7,394.90x = 30,823,405.57
  5. Step 5: Solve for x
    x = 30,823,405.57/7,394.90
  6. Step 6: Final answer
    x = 4,168.20

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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.