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Finding the Fourth Proportional to 8,412.60, 12,618.90 and 8,239.80

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Solution

The fourth proportional to 8,412.60, 12,618.90 and 8,239.80 is: 12,359.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.60 : 12,618.90 = 8,239.80 : x
  2. Step 2: Convert to fraction form
    8,412.60/12,618.90 = 8,239.80/x
  3. Step 3: Cross multiply
    8,412.60x = 12,618.90 × 8,239.80
  4. Step 4: Simplify right side
    8,412.60x = 103,977,212.22
  5. Step 5: Solve for x
    x = 103,977,212.22/8,412.60
  6. Step 6: Final answer
    x = 12,359.70

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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.