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Finding the Fourth Proportional to 10,805.91, 14,912.30 and 6,614.16

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Solution

The fourth proportional to 10,805.91, 14,912.30 and 6,614.16 is: 9,127.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.91 : 14,912.30 = 6,614.16 : x
  2. Step 2: Convert to fraction form
    10,805.91/14,912.30 = 6,614.16/x
  3. Step 3: Cross multiply
    10,805.91x = 14,912.30 × 6,614.16
  4. Step 4: Simplify right side
    10,805.91x = 98,632,298.78
  5. Step 5: Solve for x
    x = 98,632,298.78/10,805.91
  6. Step 6: Final answer
    x = 9,127.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.