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Finding the Fourth Proportional to 7,386.75, 10,193.90 and 4,200.21

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Solution

The fourth proportional to 7,386.75, 10,193.90 and 4,200.21 is: 5,796.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,386.75 : 10,193.90 = 4,200.21 : x
  2. Step 2: Convert to fraction form
    7,386.75/10,193.90 = 4,200.21/x
  3. Step 3: Cross multiply
    7,386.75x = 10,193.90 × 4,200.21
  4. Step 4: Simplify right side
    7,386.75x = 42,816,499.72
  5. Step 5: Solve for x
    x = 42,816,499.72/7,386.75
  6. Step 6: Final answer
    x = 5,796.39

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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.