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Finding the Fourth Proportional to 27,530.42, 41,295.56 and 7,808.99

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Solution

The fourth proportional to 27,530.42, 41,295.56 and 7,808.99 is: 11,713.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,530.42 : 41,295.56 = 7,808.99 : x
  2. Step 2: Convert to fraction form
    27,530.42/41,295.56 = 7,808.99/x
  3. Step 3: Cross multiply
    27,530.42x = 41,295.56 × 7,808.99
  4. Step 4: Simplify right side
    27,530.42x = 322,476,369.56
  5. Step 5: Solve for x
    x = 322,476,369.56/27,530.42
  6. Step 6: Final answer
    x = 11,713.46

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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.