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Finding the Fourth Proportional to 8,216.40, 12,321.60 and 2,671.20

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Solution

The fourth proportional to 8,216.40, 12,321.60 and 2,671.20 is: 4,005.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.40 : 12,321.60 = 2,671.20 : x
  2. Step 2: Convert to fraction form
    8,216.40/12,321.60 = 2,671.20/x
  3. Step 3: Cross multiply
    8,216.40x = 12,321.60 × 2,671.20
  4. Step 4: Simplify right side
    8,216.40x = 32,913,457.92
  5. Step 5: Solve for x
    x = 32,913,457.92/8,216.40
  6. Step 6: Final answer
    x = 4,005.82

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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.