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Finding the Fourth Proportional to 8,276.64, 12,416.49 and 2,730.21

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Solution

The fourth proportional to 8,276.64, 12,416.49 and 2,730.21 is: 4,095.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,276.64 : 12,416.49 = 2,730.21 : x
  2. Step 2: Convert to fraction form
    8,276.64/12,416.49 = 2,730.21/x
  3. Step 3: Cross multiply
    8,276.64x = 12,416.49 × 2,730.21
  4. Step 4: Simplify right side
    8,276.64x = 33,899,625.16
  5. Step 5: Solve for x
    x = 33,899,625.16/8,276.64
  6. Step 6: Final answer
    x = 4,095.82

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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.