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Finding the Fourth Proportional to 8,614.76, 12,924.86 and 3,934.58

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Solution

The fourth proportional to 8,614.76, 12,924.86 and 3,934.58 is: 5,903.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.76 : 12,924.86 = 3,934.58 : x
  2. Step 2: Convert to fraction form
    8,614.76/12,924.86 = 3,934.58/x
  3. Step 3: Cross multiply
    8,614.76x = 12,924.86 × 3,934.58
  4. Step 4: Simplify right side
    8,614.76x = 50,853,811.36
  5. Step 5: Solve for x
    x = 50,853,811.36/8,614.76
  6. Step 6: Final answer
    x = 5,903.11

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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.