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Finding the Fourth Proportional to 27,416.77, 41,125.40 and 6,640.29

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Solution

The fourth proportional to 27,416.77, 41,125.40 and 6,640.29 is: 9,960.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,416.77 : 41,125.40 = 6,640.29 : x
  2. Step 2: Convert to fraction form
    27,416.77/41,125.40 = 6,640.29/x
  3. Step 3: Cross multiply
    27,416.77x = 41,125.40 × 6,640.29
  4. Step 4: Simplify right side
    27,416.77x = 273,084,549.16
  5. Step 5: Solve for x
    x = 273,084,549.16/27,416.77
  6. Step 6: Final answer
    x = 9,960.49

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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.