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Finding the Fourth Proportional to 7,678.60, 11,524.06 and 3,981.89

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Solution

The fourth proportional to 7,678.60, 11,524.06 and 3,981.89 is: 5,976.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.60 : 11,524.06 = 3,981.89 : x
  2. Step 2: Convert to fraction form
    7,678.60/11,524.06 = 3,981.89/x
  3. Step 3: Cross multiply
    7,678.60x = 11,524.06 × 3,981.89
  4. Step 4: Simplify right side
    7,678.60x = 45,887,539.27
  5. Step 5: Solve for x
    x = 45,887,539.27/7,678.60
  6. Step 6: Final answer
    x = 5,976.03

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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.