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Finding the Fourth Proportional to 8,118.36, 12,118.77 and 7,134.21

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Solution

The fourth proportional to 8,118.36, 12,118.77 and 7,134.21 is: 10,649.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,118.36 : 12,118.77 = 7,134.21 : x
  2. Step 2: Convert to fraction form
    8,118.36/12,118.77 = 7,134.21/x
  3. Step 3: Cross multiply
    8,118.36x = 12,118.77 × 7,134.21
  4. Step 4: Simplify right side
    8,118.36x = 86,457,850.12
  5. Step 5: Solve for x
    x = 86,457,850.12/8,118.36
  6. Step 6: Final answer
    x = 10,649.67

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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.