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Finding the Fourth Proportional to 8,522.08, 12,774.48 and 3,320.80

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Solution

The fourth proportional to 8,522.08, 12,774.48 and 3,320.80 is: 4,977.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522.08 : 12,774.48 = 3,320.80 : x
  2. Step 2: Convert to fraction form
    8,522.08/12,774.48 = 3,320.80/x
  3. Step 3: Cross multiply
    8,522.08x = 12,774.48 × 3,320.80
  4. Step 4: Simplify right side
    8,522.08x = 42,421,493.18
  5. Step 5: Solve for x
    x = 42,421,493.18/8,522.08
  6. Step 6: Final answer
    x = 4,977.83

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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.