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Finding the Fourth Proportional to 10,403.73, 14,353.64 and 5,924.31

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Solution

The fourth proportional to 10,403.73, 14,353.64 and 5,924.31 is: 8,173.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,403.73 : 14,353.64 = 5,924.31 : x
  2. Step 2: Convert to fraction form
    10,403.73/14,353.64 = 5,924.31/x
  3. Step 3: Cross multiply
    10,403.73x = 14,353.64 × 5,924.31
  4. Step 4: Simplify right side
    10,403.73x = 85,035,383.37
  5. Step 5: Solve for x
    x = 85,035,383.37/10,403.73
  6. Step 6: Final answer
    x = 8,173.55

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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.