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Finding the Fourth Proportional to 10,511.64, 15,774.39 and 5,584.86

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Solution

The fourth proportional to 10,511.64, 15,774.39 and 5,584.86 is: 8,380.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511.64 : 15,774.39 = 5,584.86 : x
  2. Step 2: Convert to fraction form
    10,511.64/15,774.39 = 5,584.86/x
  3. Step 3: Cross multiply
    10,511.64x = 15,774.39 × 5,584.86
  4. Step 4: Simplify right side
    10,511.64x = 88,097,759.74
  5. Step 5: Solve for x
    x = 88,097,759.74/10,511.64
  6. Step 6: Final answer
    x = 8,380.97

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