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Finding the Fourth Proportional to 11,533.88, 17,289.86 and 5,683.64

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Solution

The fourth proportional to 11,533.88, 17,289.86 and 5,683.64 is: 8,520.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,533.88 : 17,289.86 = 5,683.64 : x
  2. Step 2: Convert to fraction form
    11,533.88/17,289.86 = 5,683.64/x
  3. Step 3: Cross multiply
    11,533.88x = 17,289.86 × 5,683.64
  4. Step 4: Simplify right side
    11,533.88x = 98,269,339.89
  5. Step 5: Solve for x
    x = 98,269,339.89/11,533.88
  6. Step 6: Final answer
    x = 8,520.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.