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Finding the Fourth Proportional to 7,487.44, 11,232 and 6,112.48

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Solution

The fourth proportional to 7,487.44, 11,232 and 6,112.48 is: 9,169.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,487.44 : 11,232 = 6,112.48 : x
  2. Step 2: Convert to fraction form
    7,487.44/11,232 = 6,112.48/x
  3. Step 3: Cross multiply
    7,487.44x = 11,232 × 6,112.48
  4. Step 4: Simplify right side
    7,487.44x = 68,655,375.36
  5. Step 5: Solve for x
    x = 68,655,375.36/7,487.44
  6. Step 6: Final answer
    x = 9,169.41

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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.