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Finding the Fourth Proportional to 11,267.75, 15,549.39 and 6,232.34

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Solution

The fourth proportional to 11,267.75, 15,549.39 and 6,232.34 is: 8,600.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,267.75 : 15,549.39 = 6,232.34 : x
  2. Step 2: Convert to fraction form
    11,267.75/15,549.39 = 6,232.34/x
  3. Step 3: Cross multiply
    11,267.75x = 15,549.39 × 6,232.34
  4. Step 4: Simplify right side
    11,267.75x = 96,909,007.53
  5. Step 5: Solve for x
    x = 96,909,007.53/11,267.75
  6. Step 6: Final answer
    x = 8,600.57

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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.