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Finding the Fourth Proportional to 8,210.57, 12,309.23 and 3,278.88

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Solution

The fourth proportional to 8,210.57, 12,309.23 and 3,278.88 is: 4,915.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.57 : 12,309.23 = 3,278.88 : x
  2. Step 2: Convert to fraction form
    8,210.57/12,309.23 = 3,278.88/x
  3. Step 3: Cross multiply
    8,210.57x = 12,309.23 × 3,278.88
  4. Step 4: Simplify right side
    8,210.57x = 40,360,496.26
  5. Step 5: Solve for x
    x = 40,360,496.26/8,210.57
  6. Step 6: Final answer
    x = 4,915.68

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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.