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Finding the Fourth Proportional to 7,677.69, 11,516.55 and 2,412.68

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Solution

The fourth proportional to 7,677.69, 11,516.55 and 2,412.68 is: 3,619.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.69 : 11,516.55 = 2,412.68 : x
  2. Step 2: Convert to fraction form
    7,677.69/11,516.55 = 2,412.68/x
  3. Step 3: Cross multiply
    7,677.69x = 11,516.55 × 2,412.68
  4. Step 4: Simplify right side
    7,677.69x = 27,785,737.79
  5. Step 5: Solve for x
    x = 27,785,737.79/7,677.69
  6. Step 6: Final answer
    x = 3,619.02

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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.