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Finding the Fourth Proportional to 27,238.25, 40,859.72 and 7,516.80

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Solution

The fourth proportional to 27,238.25, 40,859.72 and 7,516.80 is: 11,275.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,238.25 : 40,859.72 = 7,516.80 : x
  2. Step 2: Convert to fraction form
    27,238.25/40,859.72 = 7,516.80/x
  3. Step 3: Cross multiply
    27,238.25x = 40,859.72 × 7,516.80
  4. Step 4: Simplify right side
    27,238.25x = 307,134,312.76
  5. Step 5: Solve for x
    x = 307,134,312.76/27,238.25
  6. Step 6: Final answer
    x = 11,275.85

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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.