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Finding the Fourth Proportional to 7,101.56, 10,652.24 and 3,203.22

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Solution

The fourth proportional to 7,101.56, 10,652.24 and 3,203.22 is: 4,804.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.56 : 10,652.24 = 3,203.22 : x
  2. Step 2: Convert to fraction form
    7,101.56/10,652.24 = 3,203.22/x
  3. Step 3: Cross multiply
    7,101.56x = 10,652.24 × 3,203.22
  4. Step 4: Simplify right side
    7,101.56x = 34,121,468.21
  5. Step 5: Solve for x
    x = 34,121,468.21/7,101.56
  6. Step 6: Final answer
    x = 4,804.78

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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.