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Finding the Fourth Proportional to 11,533.74, 15,916.80 and 6,499.54

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Solution

The fourth proportional to 11,533.74, 15,916.80 and 6,499.54 is: 8,969.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,533.74 : 15,916.80 = 6,499.54 : x
  2. Step 2: Convert to fraction form
    11,533.74/15,916.80 = 6,499.54/x
  3. Step 3: Cross multiply
    11,533.74x = 15,916.80 × 6,499.54
  4. Step 4: Simplify right side
    11,533.74x = 103,451,878.27
  5. Step 5: Solve for x
    x = 103,451,878.27/11,533.74
  6. Step 6: Final answer
    x = 8,969.50

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