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Finding the Fourth Proportional to 8,426.86, 11,622.21 and 7,416.38

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Solution

The fourth proportional to 8,426.86, 11,622.21 and 7,416.38 is: 10,228.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,426.86 : 11,622.21 = 7,416.38 : x
  2. Step 2: Convert to fraction form
    8,426.86/11,622.21 = 7,416.38/x
  3. Step 3: Cross multiply
    8,426.86x = 11,622.21 × 7,416.38
  4. Step 4: Simplify right side
    8,426.86x = 86,194,725.80
  5. Step 5: Solve for x
    x = 86,194,725.80/8,426.86
  6. Step 6: Final answer
    x = 10,228.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.