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Finding the Fourth Proportional to 11,351.86, 15,667.48 and 6,571.94

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Solution

The fourth proportional to 11,351.86, 15,667.48 and 6,571.94 is: 9,070.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,351.86 : 15,667.48 = 6,571.94 : x
  2. Step 2: Convert to fraction form
    11,351.86/15,667.48 = 6,571.94/x
  3. Step 3: Cross multiply
    11,351.86x = 15,667.48 × 6,571.94
  4. Step 4: Simplify right side
    11,351.86x = 102,965,738.51
  5. Step 5: Solve for x
    x = 102,965,738.51/11,351.86
  6. Step 6: Final answer
    x = 9,070.38

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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.