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Finding the Fourth Proportional to 11,696.47, 17,544.78 and 4,677.07

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Solution

The fourth proportional to 11,696.47, 17,544.78 and 4,677.07 is: 7,015.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.47 : 17,544.78 = 4,677.07 : x
  2. Step 2: Convert to fraction form
    11,696.47/17,544.78 = 4,677.07/x
  3. Step 3: Cross multiply
    11,696.47x = 17,544.78 × 4,677.07
  4. Step 4: Simplify right side
    11,696.47x = 82,058,164.75
  5. Step 5: Solve for x
    x = 82,058,164.75/11,696.47
  6. Step 6: Final answer
    x = 7,015.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.