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Finding the Fourth Proportional to 10,827.76, 16,242.24 and 5,285.84

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Solution

The fourth proportional to 10,827.76, 16,242.24 and 5,285.84 is: 7,929.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,827.76 : 16,242.24 = 5,285.84 : x
  2. Step 2: Convert to fraction form
    10,827.76/16,242.24 = 5,285.84/x
  3. Step 3: Cross multiply
    10,827.76x = 16,242.24 × 5,285.84
  4. Step 4: Simplify right side
    10,827.76x = 85,853,881.88
  5. Step 5: Solve for x
    x = 85,853,881.88/10,827.76
  6. Step 6: Final answer
    x = 7,929.05

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