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Finding the Fourth Proportional to 11,234.20, 15,506.28 and 6,520

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Solution

The fourth proportional to 11,234.20, 15,506.28 and 6,520 is: 8,999.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234.20 : 15,506.28 = 6,520 : x
  2. Step 2: Convert to fraction form
    11,234.20/15,506.28 = 6,520/x
  3. Step 3: Cross multiply
    11,234.20x = 15,506.28 × 6,520
  4. Step 4: Simplify right side
    11,234.20x = 101,100,945.60
  5. Step 5: Solve for x
    x = 101,100,945.60/11,234.20
  6. Step 6: Final answer
    x = 8,999.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.