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Finding the Fourth Proportional to 7,542.68, 10,409.46 and 4,186.28

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Solution

The fourth proportional to 7,542.68, 10,409.46 and 4,186.28 is: 5,777.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,542.68 : 10,409.46 = 4,186.28 : x
  2. Step 2: Convert to fraction form
    7,542.68/10,409.46 = 4,186.28/x
  3. Step 3: Cross multiply
    7,542.68x = 10,409.46 × 4,186.28
  4. Step 4: Simplify right side
    7,542.68x = 43,576,914.21
  5. Step 5: Solve for x
    x = 43,576,914.21/7,542.68
  6. Step 6: Final answer
    x = 5,777.38

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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.