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Finding the Fourth Proportional to 8,614.84, 12,924.54 and 2,771.61

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Solution

The fourth proportional to 8,614.84, 12,924.54 and 2,771.61 is: 4,158.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.84 : 12,924.54 = 2,771.61 : x
  2. Step 2: Convert to fraction form
    8,614.84/12,924.54 = 2,771.61/x
  3. Step 3: Cross multiply
    8,614.84x = 12,924.54 × 2,771.61
  4. Step 4: Simplify right side
    8,614.84x = 35,821,784.31
  5. Step 5: Solve for x
    x = 35,821,784.31/8,614.84
  6. Step 6: Final answer
    x = 4,158.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.