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Finding the Fourth Proportional to 10,605.35, 15,905.96 and 3,208.07

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Solution

The fourth proportional to 10,605.35, 15,905.96 and 3,208.07 is: 4,811.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.35 : 15,905.96 = 3,208.07 : x
  2. Step 2: Convert to fraction form
    10,605.35/15,905.96 = 3,208.07/x
  3. Step 3: Cross multiply
    10,605.35x = 15,905.96 × 3,208.07
  4. Step 4: Simplify right side
    10,605.35x = 51,027,433.10
  5. Step 5: Solve for x
    x = 51,027,433.10/10,605.35
  6. Step 6: Final answer
    x = 4,811.48

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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.