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Finding the Fourth Proportional to 11,853.65, 16,357.38 and 7,377.26

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Solution

The fourth proportional to 11,853.65, 16,357.38 and 7,377.26 is: 10,180.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.65 : 16,357.38 = 7,377.26 : x
  2. Step 2: Convert to fraction form
    11,853.65/16,357.38 = 7,377.26/x
  3. Step 3: Cross multiply
    11,853.65x = 16,357.38 × 7,377.26
  4. Step 4: Simplify right side
    11,853.65x = 120,672,645.18
  5. Step 5: Solve for x
    x = 120,672,645.18/11,853.65
  6. Step 6: Final answer
    x = 10,180.21

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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.