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Finding the Fourth Proportional to 8,323.20, 12,419.60 and 8,274.60

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Solution

The fourth proportional to 8,323.20, 12,419.60 and 8,274.60 is: 12,347.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.20 : 12,419.60 = 8,274.60 : x
  2. Step 2: Convert to fraction form
    8,323.20/12,419.60 = 8,274.60/x
  3. Step 3: Cross multiply
    8,323.20x = 12,419.60 × 8,274.60
  4. Step 4: Simplify right side
    8,323.20x = 102,767,180.79
  5. Step 5: Solve for x
    x = 102,767,180.79/8,323.20
  6. Step 6: Final answer
    x = 12,347.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.