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Finding the Fourth Proportional to 10,032.71, 13,845.18 and 5,556.37

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Solution

The fourth proportional to 10,032.71, 13,845.18 and 5,556.37 is: 7,667.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,032.71 : 13,845.18 = 5,556.37 : x
  2. Step 2: Convert to fraction form
    10,032.71/13,845.18 = 5,556.37/x
  3. Step 3: Cross multiply
    10,032.71x = 13,845.18 × 5,556.37
  4. Step 4: Simplify right side
    10,032.71x = 76,928,942.80
  5. Step 5: Solve for x
    x = 76,928,942.80/10,032.71
  6. Step 6: Final answer
    x = 7,667.81

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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.