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Finding the Fourth Proportional to 11,749.16, 17,623.74 and 5,904.38

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Solution

The fourth proportional to 11,749.16, 17,623.74 and 5,904.38 is: 8,856.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,749.16 : 17,623.74 = 5,904.38 : x
  2. Step 2: Convert to fraction form
    11,749.16/17,623.74 = 5,904.38/x
  3. Step 3: Cross multiply
    11,749.16x = 17,623.74 × 5,904.38
  4. Step 4: Simplify right side
    11,749.16x = 104,057,257.98
  5. Step 5: Solve for x
    x = 104,057,257.98/11,749.16
  6. Step 6: Final answer
    x = 8,856.57

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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.