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Finding the Fourth Proportional to 7,005.54, 9,667.74 and 4,021.26

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Solution

The fourth proportional to 7,005.54, 9,667.74 and 4,021.26 is: 5,549.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.54 : 9,667.74 = 4,021.26 : x
  2. Step 2: Convert to fraction form
    7,005.54/9,667.74 = 4,021.26/x
  3. Step 3: Cross multiply
    7,005.54x = 9,667.74 × 4,021.26
  4. Step 4: Simplify right side
    7,005.54x = 38,876,496.15
  5. Step 5: Solve for x
    x = 38,876,496.15/7,005.54
  6. Step 6: Final answer
    x = 5,549.39

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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.