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Finding the Fourth Proportional to 7,328, 10,112.64 and 4,016

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Solution

The fourth proportional to 7,328, 10,112.64 and 4,016 is: 5,542.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,328 : 10,112.64 = 4,016 : x
  2. Step 2: Convert to fraction form
    7,328/10,112.64 = 4,016/x
  3. Step 3: Cross multiply
    7,328x = 10,112.64 × 4,016
  4. Step 4: Simplify right side
    7,328x = 40,612,362.24
  5. Step 5: Solve for x
    x = 40,612,362.24/7,328
  6. Step 6: Final answer
    x = 5,542.08

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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.