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Finding the Fourth Proportional to 10,635.93, 14,676.89 and 6,159.33

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Solution

The fourth proportional to 10,635.93, 14,676.89 and 6,159.33 is: 8,499.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635.93 : 14,676.89 = 6,159.33 : x
  2. Step 2: Convert to fraction form
    10,635.93/14,676.89 = 6,159.33/x
  3. Step 3: Cross multiply
    10,635.93x = 14,676.89 × 6,159.33
  4. Step 4: Simplify right side
    10,635.93x = 90,399,778.09
  5. Step 5: Solve for x
    x = 90,399,778.09/10,635.93
  6. Step 6: Final answer
    x = 8,499.47

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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.