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Finding the Fourth Proportional to 27,579.88, 41,372.25 and 7,858

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Solution

The fourth proportional to 27,579.88, 41,372.25 and 7,858 is: 11,787.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,579.88 : 41,372.25 = 7,858 : x
  2. Step 2: Convert to fraction form
    27,579.88/41,372.25 = 7,858/x
  3. Step 3: Cross multiply
    27,579.88x = 41,372.25 × 7,858
  4. Step 4: Simplify right side
    27,579.88x = 325,103,140.50
  5. Step 5: Solve for x
    x = 325,103,140.50/27,579.88
  6. Step 6: Final answer
    x = 11,787.69

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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.