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Finding the Fourth Proportional to 8,612.49, 11,882.87 and 4,835.30

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Solution

The fourth proportional to 8,612.49, 11,882.87 and 4,835.30 is: 6,671.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,612.49 : 11,882.87 = 4,835.30 : x
  2. Step 2: Convert to fraction form
    8,612.49/11,882.87 = 4,835.30/x
  3. Step 3: Cross multiply
    8,612.49x = 11,882.87 × 4,835.30
  4. Step 4: Simplify right side
    8,612.49x = 57,457,175.85
  5. Step 5: Solve for x
    x = 57,457,175.85/8,612.49
  6. Step 6: Final answer
    x = 6,671.38

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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.