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Finding the Fourth Proportional to 10,606.79, 15,910.09 and 6,447.96

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Solution

The fourth proportional to 10,606.79, 15,910.09 and 6,447.96 is: 9,671.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606.79 : 15,910.09 = 6,447.96 : x
  2. Step 2: Convert to fraction form
    10,606.79/15,910.09 = 6,447.96/x
  3. Step 3: Cross multiply
    10,606.79x = 15,910.09 × 6,447.96
  4. Step 4: Simplify right side
    10,606.79x = 102,587,607.80
  5. Step 5: Solve for x
    x = 102,587,607.80/10,606.79
  6. Step 6: Final answer
    x = 9,671.88

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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.