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Finding the Fourth Proportional to 10,012.26, 13,812.54 and 5,762.39

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Solution

The fourth proportional to 10,012.26, 13,812.54 and 5,762.39 is: 7,949.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.26 : 13,812.54 = 5,762.39 : x
  2. Step 2: Convert to fraction form
    10,012.26/13,812.54 = 5,762.39/x
  3. Step 3: Cross multiply
    10,012.26x = 13,812.54 × 5,762.39
  4. Step 4: Simplify right side
    10,012.26x = 79,593,242.37
  5. Step 5: Solve for x
    x = 79,593,242.37/10,012.26
  6. Step 6: Final answer
    x = 7,949.58

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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.