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Finding the Fourth Proportional to 11,709.44, 16,159.31 and 6,404.66

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Solution

The fourth proportional to 11,709.44, 16,159.31 and 6,404.66 is: 8,838.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.44 : 16,159.31 = 6,404.66 : x
  2. Step 2: Convert to fraction form
    11,709.44/16,159.31 = 6,404.66/x
  3. Step 3: Cross multiply
    11,709.44x = 16,159.31 × 6,404.66
  4. Step 4: Simplify right side
    11,709.44x = 103,494,886.38
  5. Step 5: Solve for x
    x = 103,494,886.38/11,709.44
  6. Step 6: Final answer
    x = 8,838.59

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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.