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Finding the Fourth Proportional to 8,200.16, 12,299.20 and 3,005.60

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Solution

The fourth proportional to 8,200.16, 12,299.20 and 3,005.60 is: 4,508.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.16 : 12,299.20 = 3,005.60 : x
  2. Step 2: Convert to fraction form
    8,200.16/12,299.20 = 3,005.60/x
  3. Step 3: Cross multiply
    8,200.16x = 12,299.20 × 3,005.60
  4. Step 4: Simplify right side
    8,200.16x = 36,966,475.52
  5. Step 5: Solve for x
    x = 36,966,475.52/8,200.16
  6. Step 6: Final answer
    x = 4,508.02

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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.