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Finding the Fourth Proportional to 27,434.84, 41,152.26 and 7,715.39

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Solution

The fourth proportional to 27,434.84, 41,152.26 and 7,715.39 is: 11,573.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,434.84 : 41,152.26 = 7,715.39 : x
  2. Step 2: Convert to fraction form
    27,434.84/41,152.26 = 7,715.39/x
  3. Step 3: Cross multiply
    27,434.84x = 41,152.26 × 7,715.39
  4. Step 4: Simplify right side
    27,434.84x = 317,505,735.28
  5. Step 5: Solve for x
    x = 317,505,735.28/27,434.84
  6. Step 6: Final answer
    x = 11,573.09

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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.