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Finding the Fourth Proportional to 11,680.90, 16,121 and 6,507.30

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Solution

The fourth proportional to 11,680.90, 16,121 and 6,507.30 is: 8,980.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,680.90 : 16,121 = 6,507.30 : x
  2. Step 2: Convert to fraction form
    11,680.90/16,121 = 6,507.30/x
  3. Step 3: Cross multiply
    11,680.90x = 16,121 × 6,507.30
  4. Step 4: Simplify right side
    11,680.90x = 104,904,183.30
  5. Step 5: Solve for x
    x = 104,904,183.30/11,680.90
  6. Step 6: Final answer
    x = 8,980.83

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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.