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Finding the Fourth Proportional to 11,679.64, 16,117.68 and 6,374.44

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Solution

The fourth proportional to 11,679.64, 16,117.68 and 6,374.44 is: 8,796.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,679.64 : 16,117.68 = 6,374.44 : x
  2. Step 2: Convert to fraction form
    11,679.64/16,117.68 = 6,374.44/x
  3. Step 3: Cross multiply
    11,679.64x = 16,117.68 × 6,374.44
  4. Step 4: Simplify right side
    11,679.64x = 102,741,184.10
  5. Step 5: Solve for x
    x = 102,741,184.10/11,679.64
  6. Step 6: Final answer
    x = 8,796.61

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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.