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Finding the Fourth Proportional to 10,475.50, 15,709.90 and 3,454.20

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Solution

The fourth proportional to 10,475.50, 15,709.90 and 3,454.20 is: 5,180.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.50 : 15,709.90 = 3,454.20 : x
  2. Step 2: Convert to fraction form
    10,475.50/15,709.90 = 3,454.20/x
  3. Step 3: Cross multiply
    10,475.50x = 15,709.90 × 3,454.20
  4. Step 4: Simplify right side
    10,475.50x = 54,265,136.58
  5. Step 5: Solve for x
    x = 54,265,136.58/10,475.50
  6. Step 6: Final answer
    x = 5,180.20

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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.