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Finding the Fourth Proportional to 11,544.60, 17,321.46 and 6,001.44

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Solution

The fourth proportional to 11,544.60, 17,321.46 and 6,001.44 is: 9,004.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,544.60 : 17,321.46 = 6,001.44 : x
  2. Step 2: Convert to fraction form
    11,544.60/17,321.46 = 6,001.44/x
  3. Step 3: Cross multiply
    11,544.60x = 17,321.46 × 6,001.44
  4. Step 4: Simplify right side
    11,544.60x = 103,953,702.90
  5. Step 5: Solve for x
    x = 103,953,702.90/11,544.60
  6. Step 6: Final answer
    x = 9,004.53

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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.