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Finding the Fourth Proportional to 7,405.38, 10,220.11 and 4,218.82

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Solution

The fourth proportional to 7,405.38, 10,220.11 and 4,218.82 is: 5,822.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,405.38 : 10,220.11 = 4,218.82 : x
  2. Step 2: Convert to fraction form
    7,405.38/10,220.11 = 4,218.82/x
  3. Step 3: Cross multiply
    7,405.38x = 10,220.11 × 4,218.82
  4. Step 4: Simplify right side
    7,405.38x = 43,116,768.37
  5. Step 5: Solve for x
    x = 43,116,768.37/7,405.38
  6. Step 6: Final answer
    x = 5,822.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.