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Finding the Fourth Proportional to 27,808.96, 41,713.09 and 6,749.18

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Solution

The fourth proportional to 27,808.96, 41,713.09 and 6,749.18 is: 10,123.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,808.96 : 41,713.09 = 6,749.18 : x
  2. Step 2: Convert to fraction form
    27,808.96/41,713.09 = 6,749.18/x
  3. Step 3: Cross multiply
    27,808.96x = 41,713.09 × 6,749.18
  4. Step 4: Simplify right side
    27,808.96x = 281,529,152.77
  5. Step 5: Solve for x
    x = 281,529,152.77/27,808.96
  6. Step 6: Final answer
    x = 10,123.69

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Why These Related Problems?

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