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Finding the Fourth Proportional to 8,464.97, 11,682.76 and 5,109.68

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Solution

The fourth proportional to 8,464.97, 11,682.76 and 5,109.68 is: 7,052.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.97 : 11,682.76 = 5,109.68 : x
  2. Step 2: Convert to fraction form
    8,464.97/11,682.76 = 5,109.68/x
  3. Step 3: Cross multiply
    8,464.97x = 11,682.76 × 5,109.68
  4. Step 4: Simplify right side
    8,464.97x = 59,695,165.12
  5. Step 5: Solve for x
    x = 59,695,165.12/8,464.97
  6. Step 6: Final answer
    x = 7,052.02

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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.