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Finding the Fourth Proportional to 11,584.78, 17,373.50 and 4,188.26

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Solution

The fourth proportional to 11,584.78, 17,373.50 and 4,188.26 is: 6,281.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,584.78 : 17,373.50 = 4,188.26 : x
  2. Step 2: Convert to fraction form
    11,584.78/17,373.50 = 4,188.26/x
  3. Step 3: Cross multiply
    11,584.78x = 17,373.50 × 4,188.26
  4. Step 4: Simplify right side
    11,584.78x = 72,764,735.11
  5. Step 5: Solve for x
    x = 72,764,735.11/11,584.78
  6. Step 6: Final answer
    x = 6,281.06

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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.