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Finding the Fourth Proportional to 10,836.42, 14,954.21 and 5,868.42

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Solution

The fourth proportional to 10,836.42, 14,954.21 and 5,868.42 is: 8,098.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,836.42 : 14,954.21 = 5,868.42 : x
  2. Step 2: Convert to fraction form
    10,836.42/14,954.21 = 5,868.42/x
  3. Step 3: Cross multiply
    10,836.42x = 14,954.21 × 5,868.42
  4. Step 4: Simplify right side
    10,836.42x = 87,757,555.71
  5. Step 5: Solve for x
    x = 87,757,555.71/10,836.42
  6. Step 6: Final answer
    x = 8,098.39

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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.