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Finding the Fourth Proportional to 10,000.50, 15,001.49 and 3,844.50

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Solution

The fourth proportional to 10,000.50, 15,001.49 and 3,844.50 is: 5,767.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.50 : 15,001.49 = 3,844.50 : x
  2. Step 2: Convert to fraction form
    10,000.50/15,001.49 = 3,844.50/x
  3. Step 3: Cross multiply
    10,000.50x = 15,001.49 × 3,844.50
  4. Step 4: Simplify right side
    10,000.50x = 57,673,228.31
  5. Step 5: Solve for x
    x = 57,673,228.31/10,000.50
  6. Step 6: Final answer
    x = 5,767.03

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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.