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Finding the Fourth Proportional to 10,403.88, 14,357.38 and 5,927.82

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Solution

The fourth proportional to 10,403.88, 14,357.38 and 5,927.82 is: 8,180.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,403.88 : 14,357.38 = 5,927.82 : x
  2. Step 2: Convert to fraction form
    10,403.88/14,357.38 = 5,927.82/x
  3. Step 3: Cross multiply
    10,403.88x = 14,357.38 × 5,927.82
  4. Step 4: Simplify right side
    10,403.88x = 85,107,964.31
  5. Step 5: Solve for x
    x = 85,107,964.31/10,403.88
  6. Step 6: Final answer
    x = 8,180.41

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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.