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Finding the Fourth Proportional to 11,709, 17,557.74 and 5,131.08

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Solution

The fourth proportional to 11,709, 17,557.74 and 5,131.08 is: 7,694.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709 : 17,557.74 = 5,131.08 : x
  2. Step 2: Convert to fraction form
    11,709/17,557.74 = 5,131.08/x
  3. Step 3: Cross multiply
    11,709x = 17,557.74 × 5,131.08
  4. Step 4: Simplify right side
    11,709x = 90,090,168.56
  5. Step 5: Solve for x
    x = 90,090,168.56/11,709
  6. Step 6: Final answer
    x = 7,694.10

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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.