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Finding the Fourth Proportional to 10,375.49, 15,564.20 and 4,133.99

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Solution

The fourth proportional to 10,375.49, 15,564.20 and 4,133.99 is: 6,201.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375.49 : 15,564.20 = 4,133.99 : x
  2. Step 2: Convert to fraction form
    10,375.49/15,564.20 = 4,133.99/x
  3. Step 3: Cross multiply
    10,375.49x = 15,564.20 × 4,133.99
  4. Step 4: Simplify right side
    10,375.49x = 64,342,247.16
  5. Step 5: Solve for x
    x = 64,342,247.16/10,375.49
  6. Step 6: Final answer
    x = 6,201.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.