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Finding the Fourth Proportional to 11,669.96, 17,508.06 and 5,096.68

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Solution

The fourth proportional to 11,669.96, 17,508.06 and 5,096.68 is: 7,646.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,669.96 : 17,508.06 = 5,096.68 : x
  2. Step 2: Convert to fraction form
    11,669.96/17,508.06 = 5,096.68/x
  3. Step 3: Cross multiply
    11,669.96x = 17,508.06 × 5,096.68
  4. Step 4: Simplify right side
    11,669.96x = 89,232,979.24
  5. Step 5: Solve for x
    x = 89,232,979.24/11,669.96
  6. Step 6: Final answer
    x = 7,646.38

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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.