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Finding the Fourth Proportional to 10,664.96, 14,685.37 and 8,419.64

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Solution

The fourth proportional to 10,664.96, 14,685.37 and 8,419.64 is: 11,593.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,664.96 : 14,685.37 = 8,419.64 : x
  2. Step 2: Convert to fraction form
    10,664.96/14,685.37 = 8,419.64/x
  3. Step 3: Cross multiply
    10,664.96x = 14,685.37 × 8,419.64
  4. Step 4: Simplify right side
    10,664.96x = 123,645,434.19
  5. Step 5: Solve for x
    x = 123,645,434.19/10,664.96
  6. Step 6: Final answer
    x = 11,593.62

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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.