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Finding the Fourth Proportional to 8,119.86, 12,121.02 and 7,135.70

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Solution

The fourth proportional to 8,119.86, 12,121.02 and 7,135.70 is: 10,651.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119.86 : 12,121.02 = 7,135.70 : x
  2. Step 2: Convert to fraction form
    8,119.86/12,121.02 = 7,135.70/x
  3. Step 3: Cross multiply
    8,119.86x = 12,121.02 × 7,135.70
  4. Step 4: Simplify right side
    8,119.86x = 86,491,962.41
  5. Step 5: Solve for x
    x = 86,491,962.41/8,119.86
  6. Step 6: Final answer
    x = 10,651.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.