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Finding the Fourth Proportional to 8,089.14, 12,129.81 and 2,824.02

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Solution

The fourth proportional to 8,089.14, 12,129.81 and 2,824.02 is: 4,234.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089.14 : 12,129.81 = 2,824.02 : x
  2. Step 2: Convert to fraction form
    8,089.14/12,129.81 = 2,824.02/x
  3. Step 3: Cross multiply
    8,089.14x = 12,129.81 × 2,824.02
  4. Step 4: Simplify right side
    8,089.14x = 34,254,826.04
  5. Step 5: Solve for x
    x = 34,254,826.04/8,089.14
  6. Step 6: Final answer
    x = 4,234.67

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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.