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Finding the Fourth Proportional to 10,584.43, 14,606.37 and 5,868.82

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Solution

The fourth proportional to 10,584.43, 14,606.37 and 5,868.82 is: 8,098.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.43 : 14,606.37 = 5,868.82 : x
  2. Step 2: Convert to fraction form
    10,584.43/14,606.37 = 5,868.82/x
  3. Step 3: Cross multiply
    10,584.43x = 14,606.37 × 5,868.82
  4. Step 4: Simplify right side
    10,584.43x = 85,722,156.38
  5. Step 5: Solve for x
    x = 85,722,156.38/10,584.43
  6. Step 6: Final answer
    x = 8,098.89

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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.