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Finding the Fourth Proportional to 10,922, 15,072.36 and 5,954

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Solution

The fourth proportional to 10,922, 15,072.36 and 5,954 is: 8,216.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,922 : 15,072.36 = 5,954 : x
  2. Step 2: Convert to fraction form
    10,922/15,072.36 = 5,954/x
  3. Step 3: Cross multiply
    10,922x = 15,072.36 × 5,954
  4. Step 4: Simplify right side
    10,922x = 89,740,831.44
  5. Step 5: Solve for x
    x = 89,740,831.44/10,922
  6. Step 6: Final answer
    x = 8,216.52

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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.