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Finding the Fourth Proportional to 11,661.72, 17,499.84 and 5,088

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Solution

The fourth proportional to 11,661.72, 17,499.84 and 5,088 is: 7,635.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.72 : 17,499.84 = 5,088 : x
  2. Step 2: Convert to fraction form
    11,661.72/17,499.84 = 5,088/x
  3. Step 3: Cross multiply
    11,661.72x = 17,499.84 × 5,088
  4. Step 4: Simplify right side
    11,661.72x = 89,039,185.92
  5. Step 5: Solve for x
    x = 89,039,185.92/11,661.72
  6. Step 6: Final answer
    x = 7,635.17

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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.