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Finding the Fourth Proportional to 11,963.64, 17,945.46 and 4,167

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Solution

The fourth proportional to 11,963.64, 17,945.46 and 4,167 is: 6,250.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.64 : 17,945.46 = 4,167 : x
  2. Step 2: Convert to fraction form
    11,963.64/17,945.46 = 4,167/x
  3. Step 3: Cross multiply
    11,963.64x = 17,945.46 × 4,167
  4. Step 4: Simplify right side
    11,963.64x = 74,778,731.82
  5. Step 5: Solve for x
    x = 74,778,731.82/11,963.64
  6. Step 6: Final answer
    x = 6,250.50

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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.