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Finding the Fourth Proportional to 10,604.98, 15,909.96 and 3,209.50

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Solution

The fourth proportional to 10,604.98, 15,909.96 and 3,209.50 is: 4,815.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.98 : 15,909.96 = 3,209.50 : x
  2. Step 2: Convert to fraction form
    10,604.98/15,909.96 = 3,209.50/x
  3. Step 3: Cross multiply
    10,604.98x = 15,909.96 × 3,209.50
  4. Step 4: Simplify right side
    10,604.98x = 51,063,016.62
  5. Step 5: Solve for x
    x = 51,063,016.62/10,604.98
  6. Step 6: Final answer
    x = 4,815.00

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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.