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Finding the Fourth Proportional to 10,021.38, 13,835.07 and 6,043.50

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Solution

The fourth proportional to 10,021.38, 13,835.07 and 6,043.50 is: 8,343.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021.38 : 13,835.07 = 6,043.50 : x
  2. Step 2: Convert to fraction form
    10,021.38/13,835.07 = 6,043.50/x
  3. Step 3: Cross multiply
    10,021.38x = 13,835.07 × 6,043.50
  4. Step 4: Simplify right side
    10,021.38x = 83,612,245.55
  5. Step 5: Solve for x
    x = 83,612,245.55/10,021.38
  6. Step 6: Final answer
    x = 8,343.39

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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.