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Finding the Fourth Proportional to 8,047.54, 12,069.42 and 2,424.10

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Solution

The fourth proportional to 8,047.54, 12,069.42 and 2,424.10 is: 3,635.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.54 : 12,069.42 = 2,424.10 : x
  2. Step 2: Convert to fraction form
    8,047.54/12,069.42 = 2,424.10/x
  3. Step 3: Cross multiply
    8,047.54x = 12,069.42 × 2,424.10
  4. Step 4: Simplify right side
    8,047.54x = 29,257,481.02
  5. Step 5: Solve for x
    x = 29,257,481.02/8,047.54
  6. Step 6: Final answer
    x = 3,635.58

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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.