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Finding the Fourth Proportional to 11,647.08, 16,072.95 and 6,341.88

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Solution

The fourth proportional to 11,647.08, 16,072.95 and 6,341.88 is: 8,751.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.08 : 16,072.95 = 6,341.88 : x
  2. Step 2: Convert to fraction form
    11,647.08/16,072.95 = 6,341.88/x
  3. Step 3: Cross multiply
    11,647.08x = 16,072.95 × 6,341.88
  4. Step 4: Simplify right side
    11,647.08x = 101,932,720.15
  5. Step 5: Solve for x
    x = 101,932,720.15/11,647.08
  6. Step 6: Final answer
    x = 8,751.78

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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.