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Finding the Fourth Proportional to 7,696.91, 11,546.99 and 2,502.38

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Solution

The fourth proportional to 7,696.91, 11,546.99 and 2,502.38 is: 3,754.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.91 : 11,546.99 = 2,502.38 : x
  2. Step 2: Convert to fraction form
    7,696.91/11,546.99 = 2,502.38/x
  3. Step 3: Cross multiply
    7,696.91x = 11,546.99 × 2,502.38
  4. Step 4: Simplify right side
    7,696.91x = 28,894,886.59
  5. Step 5: Solve for x
    x = 28,894,886.59/7,696.91
  6. Step 6: Final answer
    x = 3,754.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.