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Finding the Fourth Proportional to 7,677.57, 11,516.35 and 2,412.56

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Solution

The fourth proportional to 7,677.57, 11,516.35 and 2,412.56 is: 3,618.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.57 : 11,516.35 = 2,412.56 : x
  2. Step 2: Convert to fraction form
    7,677.57/11,516.35 = 2,412.56/x
  3. Step 3: Cross multiply
    7,677.57x = 11,516.35 × 2,412.56
  4. Step 4: Simplify right side
    7,677.57x = 27,783,821.74
  5. Step 5: Solve for x
    x = 27,783,821.74/7,677.57
  6. Step 6: Final answer
    x = 3,618.83

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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.