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Finding the Fourth Proportional to 8,522.10, 12,766.12 and 6,770.07

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Solution

The fourth proportional to 8,522.10, 12,766.12 and 6,770.07 is: 10,141.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522.10 : 12,766.12 = 6,770.07 : x
  2. Step 2: Convert to fraction form
    8,522.10/12,766.12 = 6,770.07/x
  3. Step 3: Cross multiply
    8,522.10x = 12,766.12 × 6,770.07
  4. Step 4: Simplify right side
    8,522.10x = 86,427,526.03
  5. Step 5: Solve for x
    x = 86,427,526.03/8,522.10
  6. Step 6: Final answer
    x = 10,141.58

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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.