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Finding the Fourth Proportional to 27,358.45, 41,039.96 and 7,637.24

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Solution

The fourth proportional to 27,358.45, 41,039.96 and 7,637.24 is: 11,456.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,358.45 : 41,039.96 = 7,637.24 : x
  2. Step 2: Convert to fraction form
    27,358.45/41,039.96 = 7,637.24/x
  3. Step 3: Cross multiply
    27,358.45x = 41,039.96 × 7,637.24
  4. Step 4: Simplify right side
    27,358.45x = 313,432,024.11
  5. Step 5: Solve for x
    x = 313,432,024.11/27,358.45
  6. Step 6: Final answer
    x = 11,456.50

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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.