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Finding the Fourth Proportional to 7,388.78, 10,196.12 and 4,031.56

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Solution

The fourth proportional to 7,388.78, 10,196.12 and 4,031.56 is: 5,563.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,388.78 : 10,196.12 = 4,031.56 : x
  2. Step 2: Convert to fraction form
    7,388.78/10,196.12 = 4,031.56/x
  3. Step 3: Cross multiply
    7,388.78x = 10,196.12 × 4,031.56
  4. Step 4: Simplify right side
    7,388.78x = 41,106,269.55
  5. Step 5: Solve for x
    x = 41,106,269.55/7,388.78
  6. Step 6: Final answer
    x = 5,563.34

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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.