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Finding the Fourth Proportional to 8,089.83, 12,139.46 and 3,409.55

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Solution

The fourth proportional to 8,089.83, 12,139.46 and 3,409.55 is: 5,116.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089.83 : 12,139.46 = 3,409.55 : x
  2. Step 2: Convert to fraction form
    8,089.83/12,139.46 = 3,409.55/x
  3. Step 3: Cross multiply
    8,089.83x = 12,139.46 × 3,409.55
  4. Step 4: Simplify right side
    8,089.83x = 41,390,134.72
  5. Step 5: Solve for x
    x = 41,390,134.72/8,089.83
  6. Step 6: Final answer
    x = 5,116.32

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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.