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Finding the Fourth Proportional to 11,123.64, 16,666.98 and 7,829.81

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Solution

The fourth proportional to 11,123.64, 16,666.98 and 7,829.81 is: 11,731.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,123.64 : 16,666.98 = 7,829.81 : x
  2. Step 2: Convert to fraction form
    11,123.64/16,666.98 = 7,829.81/x
  3. Step 3: Cross multiply
    11,123.64x = 16,666.98 × 7,829.81
  4. Step 4: Simplify right side
    11,123.64x = 130,499,295.20
  5. Step 5: Solve for x
    x = 130,499,295.20/11,123.64
  6. Step 6: Final answer
    x = 11,731.71

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