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Finding the Fourth Proportional to 11,341.50, 17,012.25 and 4,420.86

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Solution

The fourth proportional to 11,341.50, 17,012.25 and 4,420.86 is: 6,631.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,341.50 : 17,012.25 = 4,420.86 : x
  2. Step 2: Convert to fraction form
    11,341.50/17,012.25 = 4,420.86/x
  3. Step 3: Cross multiply
    11,341.50x = 17,012.25 × 4,420.86
  4. Step 4: Simplify right side
    11,341.50x = 75,208,775.54
  5. Step 5: Solve for x
    x = 75,208,775.54/11,341.50
  6. Step 6: Final answer
    x = 6,631.29

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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.