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Finding the Fourth Proportional to 27,530.87, 41,290.43 and 7,809.62

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Solution

The fourth proportional to 27,530.87, 41,290.43 and 7,809.62 is: 11,712.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,530.87 : 41,290.43 = 7,809.62 : x
  2. Step 2: Convert to fraction form
    27,530.87/41,290.43 = 7,809.62/x
  3. Step 3: Cross multiply
    27,530.87x = 41,290.43 × 7,809.62
  4. Step 4: Simplify right side
    27,530.87x = 322,462,322.44
  5. Step 5: Solve for x
    x = 322,462,322.44/27,530.87
  6. Step 6: Final answer
    x = 11,712.76

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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.