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Finding the Fourth Proportional to 8,200.48, 12,299.46 and 3,005.14

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Solution

The fourth proportional to 8,200.48, 12,299.46 and 3,005.14 is: 4,507.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.48 : 12,299.46 = 3,005.14 : x
  2. Step 2: Convert to fraction form
    8,200.48/12,299.46 = 3,005.14/x
  3. Step 3: Cross multiply
    8,200.48x = 12,299.46 × 3,005.14
  4. Step 4: Simplify right side
    8,200.48x = 36,961,599.22
  5. Step 5: Solve for x
    x = 36,961,599.22/8,200.48
  6. Step 6: Final answer
    x = 4,507.25

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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.