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Finding the Fourth Proportional to 11,203.86, 15,461.67 and 6,168.30

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Solution

The fourth proportional to 11,203.86, 15,461.67 and 6,168.30 is: 8,512.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,203.86 : 15,461.67 = 6,168.30 : x
  2. Step 2: Convert to fraction form
    11,203.86/15,461.67 = 6,168.30/x
  3. Step 3: Cross multiply
    11,203.86x = 15,461.67 × 6,168.30
  4. Step 4: Simplify right side
    11,203.86x = 95,372,219.06
  5. Step 5: Solve for x
    x = 95,372,219.06/11,203.86
  6. Step 6: Final answer
    x = 8,512.44

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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.