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Finding the Fourth Proportional to 27,506.60, 41,265.47 and 8,786.08

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Solution

The fourth proportional to 27,506.60, 41,265.47 and 8,786.08 is: 13,180.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,506.60 : 41,265.47 = 8,786.08 : x
  2. Step 2: Convert to fraction form
    27,506.60/41,265.47 = 8,786.08/x
  3. Step 3: Cross multiply
    27,506.60x = 41,265.47 × 8,786.08
  4. Step 4: Simplify right side
    27,506.60x = 362,561,720.66
  5. Step 5: Solve for x
    x = 362,561,720.66/27,506.60
  6. Step 6: Final answer
    x = 13,180.90

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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.