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Finding the Fourth Proportional to 8,089.20, 12,124.20 and 3,409.20

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Solution

The fourth proportional to 8,089.20, 12,124.20 and 3,409.20 is: 5,109.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089.20 : 12,124.20 = 3,409.20 : x
  2. Step 2: Convert to fraction form
    8,089.20/12,124.20 = 3,409.20/x
  3. Step 3: Cross multiply
    8,089.20x = 12,124.20 × 3,409.20
  4. Step 4: Simplify right side
    8,089.20x = 41,333,822.64
  5. Step 5: Solve for x
    x = 41,333,822.64/8,089.20
  6. Step 6: Final answer
    x = 5,109.75

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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.