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Finding the Fourth Proportional to 8,219.75, 12,326.51 and 2,671.58

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Solution

The fourth proportional to 8,219.75, 12,326.51 and 2,671.58 is: 4,006.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.75 : 12,326.51 = 2,671.58 : x
  2. Step 2: Convert to fraction form
    8,219.75/12,326.51 = 2,671.58/x
  3. Step 3: Cross multiply
    8,219.75x = 12,326.51 × 2,671.58
  4. Step 4: Simplify right side
    8,219.75x = 32,931,295.08
  5. Step 5: Solve for x
    x = 32,931,295.08/8,219.75
  6. Step 6: Final answer
    x = 4,006.36

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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.