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Finding the Fourth Proportional to 10,705.97, 16,060.47 and 3,311.08

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Solution

The fourth proportional to 10,705.97, 16,060.47 and 3,311.08 is: 4,967.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.97 : 16,060.47 = 3,311.08 : x
  2. Step 2: Convert to fraction form
    10,705.97/16,060.47 = 3,311.08/x
  3. Step 3: Cross multiply
    10,705.97x = 16,060.47 × 3,311.08
  4. Step 4: Simplify right side
    10,705.97x = 53,177,501.01
  5. Step 5: Solve for x
    x = 53,177,501.01/10,705.97
  6. Step 6: Final answer
    x = 4,967.09

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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.