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Finding the Fourth Proportional to 7,677.60, 11,522.56 and 3,980.89

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Solution

The fourth proportional to 7,677.60, 11,522.56 and 3,980.89 is: 5,974.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.60 : 11,522.56 = 3,980.89 : x
  2. Step 2: Convert to fraction form
    7,677.60/11,522.56 = 3,980.89/x
  3. Step 3: Cross multiply
    7,677.60x = 11,522.56 × 3,980.89
  4. Step 4: Simplify right side
    7,677.60x = 45,870,043.88
  5. Step 5: Solve for x
    x = 45,870,043.88/7,677.60
  6. Step 6: Final answer
    x = 5,974.53

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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.