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Finding the Fourth Proportional to 27,709.52, 41,558.34 and 7,984.40

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Solution

The fourth proportional to 27,709.52, 41,558.34 and 7,984.40 is: 11,974.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,709.52 : 41,558.34 = 7,984.40 : x
  2. Step 2: Convert to fraction form
    27,709.52/41,558.34 = 7,984.40/x
  3. Step 3: Cross multiply
    27,709.52x = 41,558.34 × 7,984.40
  4. Step 4: Simplify right side
    27,709.52x = 331,818,409.90
  5. Step 5: Solve for x
    x = 331,818,409.90/27,709.52
  6. Step 6: Final answer
    x = 11,974.89

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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.