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Finding the Fourth Proportional to 7,263.63, 10,894.05 and 2,821.29

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Solution

The fourth proportional to 7,263.63, 10,894.05 and 2,821.29 is: 4,231.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,263.63 : 10,894.05 = 2,821.29 : x
  2. Step 2: Convert to fraction form
    7,263.63/10,894.05 = 2,821.29/x
  3. Step 3: Cross multiply
    7,263.63x = 10,894.05 × 2,821.29
  4. Step 4: Simplify right side
    7,263.63x = 30,735,274.32
  5. Step 5: Solve for x
    x = 30,735,274.32/7,263.63
  6. Step 6: Final answer
    x = 4,231.39

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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.