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Finding the Fourth Proportional to 28,000.50, 42,001.56 and 7,224

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Solution

The fourth proportional to 28,000.50, 42,001.56 and 7,224 is: 10,836.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,000.50 : 42,001.56 = 7,224 : x
  2. Step 2: Convert to fraction form
    28,000.50/42,001.56 = 7,224/x
  3. Step 3: Cross multiply
    28,000.50x = 42,001.56 × 7,224
  4. Step 4: Simplify right side
    28,000.50x = 303,419,269.44
  5. Step 5: Solve for x
    x = 303,419,269.44/28,000.50
  6. Step 6: Final answer
    x = 10,836.21

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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.