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Finding the Fourth Proportional to 11,442.60, 17,168.46 and 4,047.80

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Solution

The fourth proportional to 11,442.60, 17,168.46 and 4,047.80 is: 6,073.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,442.60 : 17,168.46 = 4,047.80 : x
  2. Step 2: Convert to fraction form
    11,442.60/17,168.46 = 4,047.80/x
  3. Step 3: Cross multiply
    11,442.60x = 17,168.46 × 4,047.80
  4. Step 4: Simplify right side
    11,442.60x = 69,494,492.39
  5. Step 5: Solve for x
    x = 69,494,492.39/11,442.60
  6. Step 6: Final answer
    x = 6,073.31

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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.