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Finding the Fourth Proportional to 11,673, 17,516.79 and 4,747.50

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Solution

The fourth proportional to 11,673, 17,516.79 and 4,747.50 is: 7,124.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,673 : 17,516.79 = 4,747.50 : x
  2. Step 2: Convert to fraction form
    11,673/17,516.79 = 4,747.50/x
  3. Step 3: Cross multiply
    11,673x = 17,516.79 × 4,747.50
  4. Step 4: Simplify right side
    11,673x = 83,160,960.53
  5. Step 5: Solve for x
    x = 83,160,960.53/11,673
  6. Step 6: Final answer
    x = 7,124.21

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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.