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Finding the Fourth Proportional to 27,590.88, 41,388.75 and 7,869

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Solution

The fourth proportional to 27,590.88, 41,388.75 and 7,869 is: 11,804.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,590.88 : 41,388.75 = 7,869 : x
  2. Step 2: Convert to fraction form
    27,590.88/41,388.75 = 7,869/x
  3. Step 3: Cross multiply
    27,590.88x = 41,388.75 × 7,869
  4. Step 4: Simplify right side
    27,590.88x = 325,688,073.75
  5. Step 5: Solve for x
    x = 325,688,073.75/27,590.88
  6. Step 6: Final answer
    x = 11,804.19

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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.