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Finding the Fourth Proportional to 26,537.44, 39,799.78 and 7,812.38

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Solution

The fourth proportional to 26,537.44, 39,799.78 and 7,812.38 is: 11,716.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,537.44 : 39,799.78 = 7,812.38 : x
  2. Step 2: Convert to fraction form
    26,537.44/39,799.78 = 7,812.38/x
  3. Step 3: Cross multiply
    26,537.44x = 39,799.78 × 7,812.38
  4. Step 4: Simplify right side
    26,537.44x = 310,931,005.28
  5. Step 5: Solve for x
    x = 310,931,005.28/26,537.44
  6. Step 6: Final answer
    x = 11,716.69

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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.