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Finding the Fourth Proportional to 11,835.41, 16,333.21 and 6,530.57

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Solution

The fourth proportional to 11,835.41, 16,333.21 and 6,530.57 is: 9,012.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,835.41 : 16,333.21 = 6,530.57 : x
  2. Step 2: Convert to fraction form
    11,835.41/16,333.21 = 6,530.57/x
  3. Step 3: Cross multiply
    11,835.41x = 16,333.21 × 6,530.57
  4. Step 4: Simplify right side
    11,835.41x = 106,665,202.62
  5. Step 5: Solve for x
    x = 106,665,202.62/11,835.41
  6. Step 6: Final answer
    x = 9,012.38

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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.