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Finding the Fourth Proportional to 11,476.82, 17,215.01 and 3,156.80

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Solution

The fourth proportional to 11,476.82, 17,215.01 and 3,156.80 is: 4,735.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,476.82 : 17,215.01 = 3,156.80 : x
  2. Step 2: Convert to fraction form
    11,476.82/17,215.01 = 3,156.80/x
  3. Step 3: Cross multiply
    11,476.82x = 17,215.01 × 3,156.80
  4. Step 4: Simplify right side
    11,476.82x = 54,344,241.71
  5. Step 5: Solve for x
    x = 54,344,241.71/11,476.82
  6. Step 6: Final answer
    x = 4,735.13

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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.