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Finding the Fourth Proportional to 11,815.72, 17,719.17 and 3,916.78

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Solution

The fourth proportional to 11,815.72, 17,719.17 and 3,916.78 is: 5,873.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,815.72 : 17,719.17 = 3,916.78 : x
  2. Step 2: Convert to fraction form
    11,815.72/17,719.17 = 3,916.78/x
  3. Step 3: Cross multiply
    11,815.72x = 17,719.17 × 3,916.78
  4. Step 4: Simplify right side
    11,815.72x = 69,402,090.67
  5. Step 5: Solve for x
    x = 69,402,090.67/11,815.72
  6. Step 6: Final answer
    x = 5,873.71

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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.