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Finding the Fourth Proportional to 8,084.64, 12,129.92 and 3,405.82

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Solution

The fourth proportional to 8,084.64, 12,129.92 and 3,405.82 is: 5,109.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,084.64 : 12,129.92 = 3,405.82 : x
  2. Step 2: Convert to fraction form
    8,084.64/12,129.92 = 3,405.82/x
  3. Step 3: Cross multiply
    8,084.64x = 12,129.92 × 3,405.82
  4. Step 4: Simplify right side
    8,084.64x = 41,312,324.13
  5. Step 5: Solve for x
    x = 41,312,324.13/8,084.64
  6. Step 6: Final answer
    x = 5,109.98

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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.