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Finding the Fourth Proportional to 11,742.14, 16,204.22 and 6,364.59

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Solution

The fourth proportional to 11,742.14, 16,204.22 and 6,364.59 is: 8,783.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,742.14 : 16,204.22 = 6,364.59 : x
  2. Step 2: Convert to fraction form
    11,742.14/16,204.22 = 6,364.59/x
  3. Step 3: Cross multiply
    11,742.14x = 16,204.22 × 6,364.59
  4. Step 4: Simplify right side
    11,742.14x = 103,133,103.73
  5. Step 5: Solve for x
    x = 103,133,103.73/11,742.14
  6. Step 6: Final answer
    x = 8,783.16

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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.