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Finding the Fourth Proportional to 7,654.17, 11,485.68 and 3,211.44

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Solution

The fourth proportional to 7,654.17, 11,485.68 and 3,211.44 is: 4,819.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.17 : 11,485.68 = 3,211.44 : x
  2. Step 2: Convert to fraction form
    7,654.17/11,485.68 = 3,211.44/x
  3. Step 3: Cross multiply
    7,654.17x = 11,485.68 × 3,211.44
  4. Step 4: Simplify right side
    7,654.17x = 36,885,572.18
  5. Step 5: Solve for x
    x = 36,885,572.18/7,654.17
  6. Step 6: Final answer
    x = 4,819.02

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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.