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Finding the Fourth Proportional to 10,533.54, 14,540.94 and 6,286.08

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Solution

The fourth proportional to 10,533.54, 14,540.94 and 6,286.08 is: 8,677.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,533.54 : 14,540.94 = 6,286.08 : x
  2. Step 2: Convert to fraction form
    10,533.54/14,540.94 = 6,286.08/x
  3. Step 3: Cross multiply
    10,533.54x = 14,540.94 × 6,286.08
  4. Step 4: Simplify right side
    10,533.54x = 91,405,512.12
  5. Step 5: Solve for x
    x = 91,405,512.12/10,533.54
  6. Step 6: Final answer
    x = 8,677.57

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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.