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Finding the Fourth Proportional to 7,201.61, 10,804.37 and 2,203.87

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Solution

The fourth proportional to 7,201.61, 10,804.37 and 2,203.87 is: 3,306.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.61 : 10,804.37 = 2,203.87 : x
  2. Step 2: Convert to fraction form
    7,201.61/10,804.37 = 2,203.87/x
  3. Step 3: Cross multiply
    7,201.61x = 10,804.37 × 2,203.87
  4. Step 4: Simplify right side
    7,201.61x = 23,811,361.87
  5. Step 5: Solve for x
    x = 23,811,361.87/7,201.61
  6. Step 6: Final answer
    x = 3,306.40

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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.