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Finding the Fourth Proportional to 8,144.55, 12,211.56 and 5,225.31

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Solution

The fourth proportional to 8,144.55, 12,211.56 and 5,225.31 is: 7,834.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.55 : 12,211.56 = 5,225.31 : x
  2. Step 2: Convert to fraction form
    8,144.55/12,211.56 = 5,225.31/x
  3. Step 3: Cross multiply
    8,144.55x = 12,211.56 × 5,225.31
  4. Step 4: Simplify right side
    8,144.55x = 63,809,186.58
  5. Step 5: Solve for x
    x = 63,809,186.58/8,144.55
  6. Step 6: Final answer
    x = 7,834.59

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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.