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Finding the Fourth Proportional to 7,983.22, 11,016.78 and 4,627.12

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Solution

The fourth proportional to 7,983.22, 11,016.78 and 4,627.12 is: 6,385.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983.22 : 11,016.78 = 4,627.12 : x
  2. Step 2: Convert to fraction form
    7,983.22/11,016.78 = 4,627.12/x
  3. Step 3: Cross multiply
    7,983.22x = 11,016.78 × 4,627.12
  4. Step 4: Simplify right side
    7,983.22x = 50,975,963.07
  5. Step 5: Solve for x
    x = 50,975,963.07/7,983.22
  6. Step 6: Final answer
    x = 6,385.39

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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.