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Finding the Fourth Proportional to 8,405.63, 12,612.69 and 3,478.80

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Solution

The fourth proportional to 8,405.63, 12,612.69 and 3,478.80 is: 5,219.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.63 : 12,612.69 = 3,478.80 : x
  2. Step 2: Convert to fraction form
    8,405.63/12,612.69 = 3,478.80/x
  3. Step 3: Cross multiply
    8,405.63x = 12,612.69 × 3,478.80
  4. Step 4: Simplify right side
    8,405.63x = 43,877,025.97
  5. Step 5: Solve for x
    x = 43,877,025.97/8,405.63
  6. Step 6: Final answer
    x = 5,219.96

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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.