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Finding the Fourth Proportional to 11,152.50, 16,735.23 and 4,996.50

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Solution

The fourth proportional to 11,152.50, 16,735.23 and 4,996.50 is: 7,497.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,152.50 : 16,735.23 = 4,996.50 : x
  2. Step 2: Convert to fraction form
    11,152.50/16,735.23 = 4,996.50/x
  3. Step 3: Cross multiply
    11,152.50x = 16,735.23 × 4,996.50
  4. Step 4: Simplify right side
    11,152.50x = 83,617,576.70
  5. Step 5: Solve for x
    x = 83,617,576.70/11,152.50
  6. Step 6: Final answer
    x = 7,497.65

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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.