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Finding the Fourth Proportional to 10,003.44, 15,005.16 and 3,846

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Solution

The fourth proportional to 10,003.44, 15,005.16 and 3,846 is: 5,769

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.44 : 15,005.16 = 3,846 : x
  2. Step 2: Convert to fraction form
    10,003.44/15,005.16 = 3,846/x
  3. Step 3: Cross multiply
    10,003.44x = 15,005.16 × 3,846
  4. Step 4: Simplify right side
    10,003.44x = 57,709,845.36
  5. Step 5: Solve for x
    x = 57,709,845.36/10,003.44
  6. Step 6: Final answer
    x = 5,769

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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.