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Finding the Fourth Proportional to 7,205.96, 10,813.80 and 2,822.87

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Solution

The fourth proportional to 7,205.96, 10,813.80 and 2,822.87 is: 4,236.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.96 : 10,813.80 = 2,822.87 : x
  2. Step 2: Convert to fraction form
    7,205.96/10,813.80 = 2,822.87/x
  3. Step 3: Cross multiply
    7,205.96x = 10,813.80 × 2,822.87
  4. Step 4: Simplify right side
    7,205.96x = 30,525,897.54
  5. Step 5: Solve for x
    x = 30,525,897.54/7,205.96
  6. Step 6: Final answer
    x = 4,236.20

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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.