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Finding the Fourth Proportional to 10,450.62, 15,672.02 and 4,208.49

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Solution

The fourth proportional to 10,450.62, 15,672.02 and 4,208.49 is: 6,311.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.62 : 15,672.02 = 4,208.49 : x
  2. Step 2: Convert to fraction form
    10,450.62/15,672.02 = 4,208.49/x
  3. Step 3: Cross multiply
    10,450.62x = 15,672.02 × 4,208.49
  4. Step 4: Simplify right side
    10,450.62x = 65,955,518.41
  5. Step 5: Solve for x
    x = 65,955,518.41/10,450.62
  6. Step 6: Final answer
    x = 6,311.16

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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.