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Finding the Fourth Proportional to 10,635.94, 14,676.15 and 5,919.58

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Solution

The fourth proportional to 10,635.94, 14,676.15 and 5,919.58 is: 8,168.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635.94 : 14,676.15 = 5,919.58 : x
  2. Step 2: Convert to fraction form
    10,635.94/14,676.15 = 5,919.58/x
  3. Step 3: Cross multiply
    10,635.94x = 14,676.15 × 5,919.58
  4. Step 4: Simplify right side
    10,635.94x = 86,876,644.02
  5. Step 5: Solve for x
    x = 86,876,644.02/10,635.94
  6. Step 6: Final answer
    x = 8,168.21

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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.