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Finding the Fourth Proportional to 10,348.50, 15,523.02 and 3,423

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Solution

The fourth proportional to 10,348.50, 15,523.02 and 3,423 is: 5,134.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348.50 : 15,523.02 = 3,423 : x
  2. Step 2: Convert to fraction form
    10,348.50/15,523.02 = 3,423/x
  3. Step 3: Cross multiply
    10,348.50x = 15,523.02 × 3,423
  4. Step 4: Simplify right side
    10,348.50x = 53,135,297.46
  5. Step 5: Solve for x
    x = 53,135,297.46/10,348.50
  6. Step 6: Final answer
    x = 5,134.59

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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.