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Finding the Fourth Proportional to 8,394.96, 12,594.06 and 2,849.26

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Solution

The fourth proportional to 8,394.96, 12,594.06 and 2,849.26 is: 4,274.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,394.96 : 12,594.06 = 2,849.26 : x
  2. Step 2: Convert to fraction form
    8,394.96/12,594.06 = 2,849.26/x
  3. Step 3: Cross multiply
    8,394.96x = 12,594.06 × 2,849.26
  4. Step 4: Simplify right side
    8,394.96x = 35,883,751.40
  5. Step 5: Solve for x
    x = 35,883,751.40/8,394.96
  6. Step 6: Final answer
    x = 4,274.44

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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.