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Finding the Fourth Proportional to 27,809.16, 41,713.39 and 6,749.38

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Solution

The fourth proportional to 27,809.16, 41,713.39 and 6,749.38 is: 10,123.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,809.16 : 41,713.39 = 6,749.38 : x
  2. Step 2: Convert to fraction form
    27,809.16/41,713.39 = 6,749.38/x
  3. Step 3: Cross multiply
    27,809.16x = 41,713.39 × 6,749.38
  4. Step 4: Simplify right side
    27,809.16x = 281,539,311.63
  5. Step 5: Solve for x
    x = 281,539,311.63/27,809.16
  6. Step 6: Final answer
    x = 10,123.98

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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.