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Finding the Fourth Proportional to 27,525.60, 41,288.56 and 6,749.12

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Solution

The fourth proportional to 27,525.60, 41,288.56 and 6,749.12 is: 10,123.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,525.60 : 41,288.56 = 6,749.12 : x
  2. Step 2: Convert to fraction form
    27,525.60/41,288.56 = 6,749.12/x
  3. Step 3: Cross multiply
    27,525.60x = 41,288.56 × 6,749.12
  4. Step 4: Simplify right side
    27,525.60x = 278,661,446.07
  5. Step 5: Solve for x
    x = 278,661,446.07/27,525.60
  6. Step 6: Final answer
    x = 10,123.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.