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Finding the Fourth Proportional to 27,586.58, 41,387.25 and 7,866.86

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Solution

The fourth proportional to 27,586.58, 41,387.25 and 7,866.86 is: 11,802.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,586.58 : 41,387.25 = 7,866.86 : x
  2. Step 2: Convert to fraction form
    27,586.58/41,387.25 = 7,866.86/x
  3. Step 3: Cross multiply
    27,586.58x = 41,387.25 × 7,866.86
  4. Step 4: Simplify right side
    27,586.58x = 325,587,701.54
  5. Step 5: Solve for x
    x = 325,587,701.54/27,586.58
  6. Step 6: Final answer
    x = 11,802.39

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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.