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Finding the Fourth Proportional to 8,464.39, 11,680.91 and 4,687.68

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Solution

The fourth proportional to 8,464.39, 11,680.91 and 4,687.68 is: 6,469.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.39 : 11,680.91 = 4,687.68 : x
  2. Step 2: Convert to fraction form
    8,464.39/11,680.91 = 4,687.68/x
  3. Step 3: Cross multiply
    8,464.39x = 11,680.91 × 4,687.68
  4. Step 4: Simplify right side
    8,464.39x = 54,756,368.19
  5. Step 5: Solve for x
    x = 54,756,368.19/8,464.39
  6. Step 6: Final answer
    x = 6,469.03

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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.