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Finding the Fourth Proportional to 10,421.94, 14,383.65 and 5,944.66

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Solution

The fourth proportional to 10,421.94, 14,383.65 and 5,944.66 is: 8,204.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,421.94 : 14,383.65 = 5,944.66 : x
  2. Step 2: Convert to fraction form
    10,421.94/14,383.65 = 5,944.66/x
  3. Step 3: Cross multiply
    10,421.94x = 14,383.65 × 5,944.66
  4. Step 4: Simplify right side
    10,421.94x = 85,505,908.81
  5. Step 5: Solve for x
    x = 85,505,908.81/10,421.94
  6. Step 6: Final answer
    x = 8,204.41

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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.