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Finding the Fourth Proportional to 8,219.83, 12,323.98 and 2,881.71

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Solution

The fourth proportional to 8,219.83, 12,323.98 and 2,881.71 is: 4,320.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.83 : 12,323.98 = 2,881.71 : x
  2. Step 2: Convert to fraction form
    8,219.83/12,323.98 = 2,881.71/x
  3. Step 3: Cross multiply
    8,219.83x = 12,323.98 × 2,881.71
  4. Step 4: Simplify right side
    8,219.83x = 35,514,136.41
  5. Step 5: Solve for x
    x = 35,514,136.41/8,219.83
  6. Step 6: Final answer
    x = 4,320.54

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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.