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Finding the Fourth Proportional to 27,594.92, 41,393.91 and 7,871.90

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Solution

The fourth proportional to 27,594.92, 41,393.91 and 7,871.90 is: 11,808.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,594.92 : 41,393.91 = 7,871.90 : x
  2. Step 2: Convert to fraction form
    27,594.92/41,393.91 = 7,871.90/x
  3. Step 3: Cross multiply
    27,594.92x = 41,393.91 × 7,871.90
  4. Step 4: Simplify right side
    27,594.92x = 325,848,513.16
  5. Step 5: Solve for x
    x = 325,848,513.16/27,594.92
  6. Step 6: Final answer
    x = 11,808.28

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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.