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Finding the Fourth Proportional to 7,031.56, 10,544.23 and 2,100.28

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Solution

The fourth proportional to 7,031.56, 10,544.23 and 2,100.28 is: 3,149.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.56 : 10,544.23 = 2,100.28 : x
  2. Step 2: Convert to fraction form
    7,031.56/10,544.23 = 2,100.28/x
  3. Step 3: Cross multiply
    7,031.56x = 10,544.23 × 2,100.28
  4. Step 4: Simplify right side
    7,031.56x = 22,145,819.61
  5. Step 5: Solve for x
    x = 22,145,819.61/7,031.56
  6. Step 6: Final answer
    x = 3,149.49

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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.