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Finding the Fourth Proportional to 11,556.94, 15,947.67 and 6,522.39

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Solution

The fourth proportional to 11,556.94, 15,947.67 and 6,522.39 is: 9,000.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,556.94 : 15,947.67 = 6,522.39 : x
  2. Step 2: Convert to fraction form
    11,556.94/15,947.67 = 6,522.39/x
  3. Step 3: Cross multiply
    11,556.94x = 15,947.67 × 6,522.39
  4. Step 4: Simplify right side
    11,556.94x = 104,016,843.59
  5. Step 5: Solve for x
    x = 104,016,843.59/11,556.94
  6. Step 6: Final answer
    x = 9,000.38

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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.