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Finding the Fourth Proportional to 11,234.25, 15,503.27 and 6,266.25

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Solution

The fourth proportional to 11,234.25, 15,503.27 and 6,266.25 is: 8,647.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234.25 : 15,503.27 = 6,266.25 : x
  2. Step 2: Convert to fraction form
    11,234.25/15,503.27 = 6,266.25/x
  3. Step 3: Cross multiply
    11,234.25x = 15,503.27 × 6,266.25
  4. Step 4: Simplify right side
    11,234.25x = 97,147,334.31
  5. Step 5: Solve for x
    x = 97,147,334.31/11,234.25
  6. Step 6: Final answer
    x = 8,647.43

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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.