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Finding the Fourth Proportional to 8,340.34, 12,508.38 and 3,409.06

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Solution

The fourth proportional to 8,340.34, 12,508.38 and 3,409.06 is: 5,112.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340.34 : 12,508.38 = 3,409.06 : x
  2. Step 2: Convert to fraction form
    8,340.34/12,508.38 = 3,409.06/x
  3. Step 3: Cross multiply
    8,340.34x = 12,508.38 × 3,409.06
  4. Step 4: Simplify right side
    8,340.34x = 42,641,817.92
  5. Step 5: Solve for x
    x = 42,641,817.92/8,340.34
  6. Step 6: Final answer
    x = 5,112.72

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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.