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Finding the Fourth Proportional to 10,644.96, 14,690.05 and 6,171.31

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Solution

The fourth proportional to 10,644.96, 14,690.05 and 6,171.31 is: 8,516.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.96 : 14,690.05 = 6,171.31 : x
  2. Step 2: Convert to fraction form
    10,644.96/14,690.05 = 6,171.31/x
  3. Step 3: Cross multiply
    10,644.96x = 14,690.05 × 6,171.31
  4. Step 4: Simplify right side
    10,644.96x = 90,656,852.47
  5. Step 5: Solve for x
    x = 90,656,852.47/10,644.96
  6. Step 6: Final answer
    x = 8,516.41

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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.