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Finding the Fourth Proportional to 8,146.48, 12,211.52 and 3,219.62

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Solution

The fourth proportional to 8,146.48, 12,211.52 and 3,219.62 is: 4,826.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.48 : 12,211.52 = 3,219.62 : x
  2. Step 2: Convert to fraction form
    8,146.48/12,211.52 = 3,219.62/x
  3. Step 3: Cross multiply
    8,146.48x = 12,211.52 × 3,219.62
  4. Step 4: Simplify right side
    8,146.48x = 39,316,454.02
  5. Step 5: Solve for x
    x = 39,316,454.02/8,146.48
  6. Step 6: Final answer
    x = 4,826.19

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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.