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Finding the Fourth Proportional to 27,595.26, 41,394.42 and 7,872.30

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Solution

The fourth proportional to 27,595.26, 41,394.42 and 7,872.30 is: 11,808.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,595.26 : 41,394.42 = 7,872.30 : x
  2. Step 2: Convert to fraction form
    27,595.26/41,394.42 = 7,872.30/x
  3. Step 3: Cross multiply
    27,595.26x = 41,394.42 × 7,872.30
  4. Step 4: Simplify right side
    27,595.26x = 325,869,292.57
  5. Step 5: Solve for x
    x = 325,869,292.57/27,595.26
  6. Step 6: Final answer
    x = 11,808.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.