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Finding the Fourth Proportional to 10,238.70, 14,123.79 and 6,046.14

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Solution

The fourth proportional to 10,238.70, 14,123.79 and 6,046.14 is: 8,340.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238.70 : 14,123.79 = 6,046.14 : x
  2. Step 2: Convert to fraction form
    10,238.70/14,123.79 = 6,046.14/x
  3. Step 3: Cross multiply
    10,238.70x = 14,123.79 × 6,046.14
  4. Step 4: Simplify right side
    10,238.70x = 85,394,411.67
  5. Step 5: Solve for x
    x = 85,394,411.67/10,238.70
  6. Step 6: Final answer
    x = 8,340.36

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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.