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Finding the Fourth Proportional to 11,341, 17,011.50 and 4,420.36

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Solution

The fourth proportional to 11,341, 17,011.50 and 4,420.36 is: 6,630.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,341 : 17,011.50 = 4,420.36 : x
  2. Step 2: Convert to fraction form
    11,341/17,011.50 = 4,420.36/x
  3. Step 3: Cross multiply
    11,341x = 17,011.50 × 4,420.36
  4. Step 4: Simplify right side
    11,341x = 75,196,954.14
  5. Step 5: Solve for x
    x = 75,196,954.14/11,341
  6. Step 6: Final answer
    x = 6,630.54

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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.