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Finding the Fourth Proportional to 10,154.82, 14,011.38 and 5,904.48

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Solution

The fourth proportional to 10,154.82, 14,011.38 and 5,904.48 is: 8,146.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154.82 : 14,011.38 = 5,904.48 : x
  2. Step 2: Convert to fraction form
    10,154.82/14,011.38 = 5,904.48/x
  3. Step 3: Cross multiply
    10,154.82x = 14,011.38 × 5,904.48
  4. Step 4: Simplify right side
    10,154.82x = 82,729,912.98
  5. Step 5: Solve for x
    x = 82,729,912.98/10,154.82
  6. Step 6: Final answer
    x = 8,146.86

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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.