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Finding the Fourth Proportional to 8,212.59, 12,309.57 and 3,280.91

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Solution

The fourth proportional to 8,212.59, 12,309.57 and 3,280.91 is: 4,917.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.59 : 12,309.57 = 3,280.91 : x
  2. Step 2: Convert to fraction form
    8,212.59/12,309.57 = 3,280.91/x
  3. Step 3: Cross multiply
    8,212.59x = 12,309.57 × 3,280.91
  4. Step 4: Simplify right side
    8,212.59x = 40,386,529.76
  5. Step 5: Solve for x
    x = 40,386,529.76/8,212.59
  6. Step 6: Final answer
    x = 4,917.64

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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.