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Finding the Fourth Proportional to 8,614.72, 12,919.32 and 2,770

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Solution

The fourth proportional to 8,614.72, 12,919.32 and 2,770 is: 4,154.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.72 : 12,919.32 = 2,770 : x
  2. Step 2: Convert to fraction form
    8,614.72/12,919.32 = 2,770/x
  3. Step 3: Cross multiply
    8,614.72x = 12,919.32 × 2,770
  4. Step 4: Simplify right side
    8,614.72x = 35,786,516.40
  5. Step 5: Solve for x
    x = 35,786,516.40/8,614.72
  6. Step 6: Final answer
    x = 4,154.11

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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.