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Finding the Fourth Proportional to 10,644.81, 14,689.99 and 6,108.23

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Solution

The fourth proportional to 10,644.81, 14,689.99 and 6,108.23 is: 8,429.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.81 : 14,689.99 = 6,108.23 : x
  2. Step 2: Convert to fraction form
    10,644.81/14,689.99 = 6,108.23/x
  3. Step 3: Cross multiply
    10,644.81x = 14,689.99 × 6,108.23
  4. Step 4: Simplify right side
    10,644.81x = 89,729,764.17
  5. Step 5: Solve for x
    x = 89,729,764.17/10,644.81
  6. Step 6: Final answer
    x = 8,429.44

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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.