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Finding the Fourth Proportional to 8,204.89, 12,308.55 and 4,309.60

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Solution

The fourth proportional to 8,204.89, 12,308.55 and 4,309.60 is: 6,465.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.89 : 12,308.55 = 4,309.60 : x
  2. Step 2: Convert to fraction form
    8,204.89/12,308.55 = 4,309.60/x
  3. Step 3: Cross multiply
    8,204.89x = 12,308.55 × 4,309.60
  4. Step 4: Simplify right side
    8,204.89x = 53,044,927.08
  5. Step 5: Solve for x
    x = 53,044,927.08/8,204.89
  6. Step 6: Final answer
    x = 6,465.04

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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.