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Finding the Fourth Proportional to 11,203.82, 15,461.64 and 6,168.42

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Solution

The fourth proportional to 11,203.82, 15,461.64 and 6,168.42 is: 8,512.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,203.82 : 15,461.64 = 6,168.42 : x
  2. Step 2: Convert to fraction form
    11,203.82/15,461.64 = 6,168.42/x
  3. Step 3: Cross multiply
    11,203.82x = 15,461.64 × 6,168.42
  4. Step 4: Simplify right side
    11,203.82x = 95,373,889.41
  5. Step 5: Solve for x
    x = 95,373,889.41/11,203.82
  6. Step 6: Final answer
    x = 8,512.62

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