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Finding the Fourth Proportional to 10,426.77, 15,644.58 and 6,918

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Solution

The fourth proportional to 10,426.77, 15,644.58 and 6,918 is: 10,379.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,426.77 : 15,644.58 = 6,918 : x
  2. Step 2: Convert to fraction form
    10,426.77/15,644.58 = 6,918/x
  3. Step 3: Cross multiply
    10,426.77x = 15,644.58 × 6,918
  4. Step 4: Simplify right side
    10,426.77x = 108,229,204.44
  5. Step 5: Solve for x
    x = 108,229,204.44/10,426.77
  6. Step 6: Final answer
    x = 10,379.94

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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.