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Finding the Fourth Proportional to 8,024.40, 12,047.40 and 5,115.60

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Solution

The fourth proportional to 8,024.40, 12,047.40 and 5,115.60 is: 7,680.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024.40 : 12,047.40 = 5,115.60 : x
  2. Step 2: Convert to fraction form
    8,024.40/12,047.40 = 5,115.60/x
  3. Step 3: Cross multiply
    8,024.40x = 12,047.40 × 5,115.60
  4. Step 4: Simplify right side
    8,024.40x = 61,629,679.44
  5. Step 5: Solve for x
    x = 61,629,679.44/8,024.40
  6. Step 6: Final answer
    x = 7,680.29

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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.