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Finding the Fourth Proportional to 8,464.14, 11,680.18 and 4,687

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Solution

The fourth proportional to 8,464.14, 11,680.18 and 4,687 is: 6,467.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.14 : 11,680.18 = 4,687 : x
  2. Step 2: Convert to fraction form
    8,464.14/11,680.18 = 4,687/x
  3. Step 3: Cross multiply
    8,464.14x = 11,680.18 × 4,687
  4. Step 4: Simplify right side
    8,464.14x = 54,745,003.66
  5. Step 5: Solve for x
    x = 54,745,003.66/8,464.14
  6. Step 6: Final answer
    x = 6,467.88

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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.