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Finding the Fourth Proportional to 10,004.31, 13,806.05 and 5,527.85

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Solution

The fourth proportional to 10,004.31, 13,806.05 and 5,527.85 is: 7,628.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,004.31 : 13,806.05 = 5,527.85 : x
  2. Step 2: Convert to fraction form
    10,004.31/13,806.05 = 5,527.85/x
  3. Step 3: Cross multiply
    10,004.31x = 13,806.05 × 5,527.85
  4. Step 4: Simplify right side
    10,004.31x = 76,317,676.82
  5. Step 5: Solve for x
    x = 76,317,676.82/10,004.31
  6. Step 6: Final answer
    x = 7,628.48

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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.