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Finding the Fourth Proportional to 27,238.26, 40,856.28 and 7,516.31

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Solution

The fourth proportional to 27,238.26, 40,856.28 and 7,516.31 is: 11,274.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,238.26 : 40,856.28 = 7,516.31 : x
  2. Step 2: Convert to fraction form
    27,238.26/40,856.28 = 7,516.31/x
  3. Step 3: Cross multiply
    27,238.26x = 40,856.28 × 7,516.31
  4. Step 4: Simplify right side
    27,238.26x = 307,088,568.07
  5. Step 5: Solve for x
    x = 307,088,568.07/27,238.26
  6. Step 6: Final answer
    x = 11,274.16

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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.