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Finding the Fourth Proportional to 11,426.44, 17,142 and 4,852.60

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Solution

The fourth proportional to 11,426.44, 17,142 and 4,852.60 is: 7,279.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,426.44 : 17,142 = 4,852.60 : x
  2. Step 2: Convert to fraction form
    11,426.44/17,142 = 4,852.60/x
  3. Step 3: Cross multiply
    11,426.44x = 17,142 × 4,852.60
  4. Step 4: Simplify right side
    11,426.44x = 83,183,269.20
  5. Step 5: Solve for x
    x = 83,183,269.20/11,426.44
  6. Step 6: Final answer
    x = 7,279.89

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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.