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Finding the Fourth Proportional to 8,024.68, 12,040.46 and 4,322.60

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Solution

The fourth proportional to 8,024.68, 12,040.46 and 4,322.60 is: 6,485.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024.68 : 12,040.46 = 4,322.60 : x
  2. Step 2: Convert to fraction form
    8,024.68/12,040.46 = 4,322.60/x
  3. Step 3: Cross multiply
    8,024.68x = 12,040.46 × 4,322.60
  4. Step 4: Simplify right side
    8,024.68x = 52,046,092.40
  5. Step 5: Solve for x
    x = 52,046,092.40/8,024.68
  6. Step 6: Final answer
    x = 6,485.75

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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.