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Finding the Fourth Proportional to 8,089.21, 12,135.02 and 4,142.70

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Solution

The fourth proportional to 8,089.21, 12,135.02 and 4,142.70 is: 6,214.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089.21 : 12,135.02 = 4,142.70 : x
  2. Step 2: Convert to fraction form
    8,089.21/12,135.02 = 4,142.70/x
  3. Step 3: Cross multiply
    8,089.21x = 12,135.02 × 4,142.70
  4. Step 4: Simplify right side
    8,089.21x = 50,271,747.35
  5. Step 5: Solve for x
    x = 50,271,747.35/8,089.21
  6. Step 6: Final answer
    x = 6,214.67

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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.