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Finding the Fourth Proportional to 27,572.92, 41,359.98 and 7,852.10

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Solution

The fourth proportional to 27,572.92, 41,359.98 and 7,852.10 is: 11,778.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,572.92 : 41,359.98 = 7,852.10 : x
  2. Step 2: Convert to fraction form
    27,572.92/41,359.98 = 7,852.10/x
  3. Step 3: Cross multiply
    27,572.92x = 41,359.98 × 7,852.10
  4. Step 4: Simplify right side
    27,572.92x = 324,762,698.96
  5. Step 5: Solve for x
    x = 324,762,698.96/27,572.92
  6. Step 6: Final answer
    x = 11,778.32

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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.