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Finding the Fourth Proportional to 8,289.39, 11,435.28 and 6,158.13

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Solution

The fourth proportional to 8,289.39, 11,435.28 and 6,158.13 is: 8,495.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.39 : 11,435.28 = 6,158.13 : x
  2. Step 2: Convert to fraction form
    8,289.39/11,435.28 = 6,158.13/x
  3. Step 3: Cross multiply
    8,289.39x = 11,435.28 × 6,158.13
  4. Step 4: Simplify right side
    8,289.39x = 70,419,874.85
  5. Step 5: Solve for x
    x = 70,419,874.85/8,289.39
  6. Step 6: Final answer
    x = 8,495.18

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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.