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Finding the Fourth Proportional to 11,595.33, 17,396.24 and 3,809.61

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Solution

The fourth proportional to 11,595.33, 17,396.24 and 3,809.61 is: 5,715.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,595.33 : 17,396.24 = 3,809.61 : x
  2. Step 2: Convert to fraction form
    11,595.33/17,396.24 = 3,809.61/x
  3. Step 3: Cross multiply
    11,595.33x = 17,396.24 × 3,809.61
  4. Step 4: Simplify right side
    11,595.33x = 66,272,870.82
  5. Step 5: Solve for x
    x = 66,272,870.82/11,595.33
  6. Step 6: Final answer
    x = 5,715.48

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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.