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Finding the Fourth Proportional to 11,712.66, 17,564.56 and 3,813.09

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Solution

The fourth proportional to 11,712.66, 17,564.56 and 3,813.09 is: 5,718.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.66 : 17,564.56 = 3,813.09 : x
  2. Step 2: Convert to fraction form
    11,712.66/17,564.56 = 3,813.09/x
  3. Step 3: Cross multiply
    11,712.66x = 17,564.56 × 3,813.09
  4. Step 4: Simplify right side
    11,712.66x = 66,975,248.09
  5. Step 5: Solve for x
    x = 66,975,248.09/11,712.66
  6. Step 6: Final answer
    x = 5,718.19

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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.