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Finding the Fourth Proportional to 7,394.37, 10,204.09 and 4,207.60

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Solution

The fourth proportional to 7,394.37, 10,204.09 and 4,207.60 is: 5,806.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,394.37 : 10,204.09 = 4,207.60 : x
  2. Step 2: Convert to fraction form
    7,394.37/10,204.09 = 4,207.60/x
  3. Step 3: Cross multiply
    7,394.37x = 10,204.09 × 4,207.60
  4. Step 4: Simplify right side
    7,394.37x = 42,934,673.92
  5. Step 5: Solve for x
    x = 42,934,673.92/7,394.37
  6. Step 6: Final answer
    x = 5,806.40

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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.