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Finding the Fourth Proportional to 10,693.66, 16,034.58 and 3,296.06

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Solution

The fourth proportional to 10,693.66, 16,034.58 and 3,296.06 is: 4,942.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.66 : 16,034.58 = 3,296.06 : x
  2. Step 2: Convert to fraction form
    10,693.66/16,034.58 = 3,296.06/x
  3. Step 3: Cross multiply
    10,693.66x = 16,034.58 × 3,296.06
  4. Step 4: Simplify right side
    10,693.66x = 52,850,937.75
  5. Step 5: Solve for x
    x = 52,850,937.75/10,693.66
  6. Step 6: Final answer
    x = 4,942.27

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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.