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Finding the Fourth Proportional to 11,833.67, 16,330.24 and 6,456.17

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Solution

The fourth proportional to 11,833.67, 16,330.24 and 6,456.17 is: 8,909.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.67 : 16,330.24 = 6,456.17 : x
  2. Step 2: Convert to fraction form
    11,833.67/16,330.24 = 6,456.17/x
  3. Step 3: Cross multiply
    11,833.67x = 16,330.24 × 6,456.17
  4. Step 4: Simplify right side
    11,833.67x = 105,430,805.58
  5. Step 5: Solve for x
    x = 105,430,805.58/11,833.67
  6. Step 6: Final answer
    x = 8,909.39

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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.