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Finding the Fourth Proportional to 8,431.20, 12,661.20 and 5,522.40

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Solution

The fourth proportional to 8,431.20, 12,661.20 and 5,522.40 is: 8,293.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.20 : 12,661.20 = 5,522.40 : x
  2. Step 2: Convert to fraction form
    8,431.20/12,661.20 = 5,522.40/x
  3. Step 3: Cross multiply
    8,431.20x = 12,661.20 × 5,522.40
  4. Step 4: Simplify right side
    8,431.20x = 69,920,210.88
  5. Step 5: Solve for x
    x = 69,920,210.88/8,431.20
  6. Step 6: Final answer
    x = 8,293.03

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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.