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Finding the Fourth Proportional to 10,129.50, 15,193.49 and 3,556.13

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Solution

The fourth proportional to 10,129.50, 15,193.49 and 3,556.13 is: 5,333.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129.50 : 15,193.49 = 3,556.13 : x
  2. Step 2: Convert to fraction form
    10,129.50/15,193.49 = 3,556.13/x
  3. Step 3: Cross multiply
    10,129.50x = 15,193.49 × 3,556.13
  4. Step 4: Simplify right side
    10,129.50x = 54,029,931.85
  5. Step 5: Solve for x
    x = 54,029,931.85/10,129.50
  6. Step 6: Final answer
    x = 5,333.92

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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.