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Finding the Fourth Proportional to 37,809, 56,715.84 and 11,515.68

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Solution

The fourth proportional to 37,809, 56,715.84 and 11,515.68 is: 17,274.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,809 : 56,715.84 = 11,515.68 : x
  2. Step 2: Convert to fraction form
    37,809/56,715.84 = 11,515.68/x
  3. Step 3: Cross multiply
    37,809x = 56,715.84 × 11,515.68
  4. Step 4: Simplify right side
    37,809x = 653,121,464.37
  5. Step 5: Solve for x
    x = 653,121,464.37/37,809
  6. Step 6: Final answer
    x = 17,274.23

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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.