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Finding the Fourth Proportional to 10,003.54, 15,006.04 and 3,429.67

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Solution

The fourth proportional to 10,003.54, 15,006.04 and 3,429.67 is: 5,144.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.54 : 15,006.04 = 3,429.67 : x
  2. Step 2: Convert to fraction form
    10,003.54/15,006.04 = 3,429.67/x
  3. Step 3: Cross multiply
    10,003.54x = 15,006.04 × 3,429.67
  4. Step 4: Simplify right side
    10,003.54x = 51,465,765.21
  5. Step 5: Solve for x
    x = 51,465,765.21/10,003.54
  6. Step 6: Final answer
    x = 5,144.76

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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.