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Finding the Fourth Proportional to 10,693.12, 16,042.44 and 3,297.41

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Solution

The fourth proportional to 10,693.12, 16,042.44 and 3,297.41 is: 4,946.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.12 : 16,042.44 = 3,297.41 : x
  2. Step 2: Convert to fraction form
    10,693.12/16,042.44 = 3,297.41/x
  3. Step 3: Cross multiply
    10,693.12x = 16,042.44 × 3,297.41
  4. Step 4: Simplify right side
    10,693.12x = 52,898,502.08
  5. Step 5: Solve for x
    x = 52,898,502.08/10,693.12
  6. Step 6: Final answer
    x = 4,946.97

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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.