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Finding the Fourth Proportional to 8,200.60, 12,298.16 and 2,652.46

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Solution

The fourth proportional to 8,200.60, 12,298.16 and 2,652.46 is: 3,977.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.60 : 12,298.16 = 2,652.46 : x
  2. Step 2: Convert to fraction form
    8,200.60/12,298.16 = 2,652.46/x
  3. Step 3: Cross multiply
    8,200.60x = 12,298.16 × 2,652.46
  4. Step 4: Simplify right side
    8,200.60x = 32,620,377.47
  5. Step 5: Solve for x
    x = 32,620,377.47/8,200.60
  6. Step 6: Final answer
    x = 3,977.80

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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.