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Finding the Fourth Proportional to 10,367, 14,306.70 and 5,890.04

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Solution

The fourth proportional to 10,367, 14,306.70 and 5,890.04 is: 8,128.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367 : 14,306.70 = 5,890.04 : x
  2. Step 2: Convert to fraction form
    10,367/14,306.70 = 5,890.04/x
  3. Step 3: Cross multiply
    10,367x = 14,306.70 × 5,890.04
  4. Step 4: Simplify right side
    10,367x = 84,267,035.27
  5. Step 5: Solve for x
    x = 84,267,035.27/10,367
  6. Step 6: Final answer
    x = 8,128.39

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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.