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Finding the Fourth Proportional to 10,604.64, 15,909.84 and 3,209.34

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Solution

The fourth proportional to 10,604.64, 15,909.84 and 3,209.34 is: 4,814.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.64 : 15,909.84 = 3,209.34 : x
  2. Step 2: Convert to fraction form
    10,604.64/15,909.84 = 3,209.34/x
  3. Step 3: Cross multiply
    10,604.64x = 15,909.84 × 3,209.34
  4. Step 4: Simplify right side
    10,604.64x = 51,060,085.91
  5. Step 5: Solve for x
    x = 51,060,085.91/10,604.64
  6. Step 6: Final answer
    x = 4,814.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.