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Finding the Fourth Proportional to 8,409.15, 12,612.71 and 3,478.21

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Solution

The fourth proportional to 8,409.15, 12,612.71 and 3,478.21 is: 5,216.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.15 : 12,612.71 = 3,478.21 : x
  2. Step 2: Convert to fraction form
    8,409.15/12,612.71 = 3,478.21/x
  3. Step 3: Cross multiply
    8,409.15x = 12,612.71 × 3,478.21
  4. Step 4: Simplify right side
    8,409.15x = 43,869,631.21
  5. Step 5: Solve for x
    x = 43,869,631.21/8,409.15
  6. Step 6: Final answer
    x = 5,216.89

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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.