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Finding the Fourth Proportional to 37,794, 56,693.40 and 11,500.68

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Solution

The fourth proportional to 37,794, 56,693.40 and 11,500.68 is: 17,251.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,794 : 56,693.40 = 11,500.68 : x
  2. Step 2: Convert to fraction form
    37,794/56,693.40 = 11,500.68/x
  3. Step 3: Cross multiply
    37,794x = 56,693.40 × 11,500.68
  4. Step 4: Simplify right side
    37,794x = 652,012,651.51
  5. Step 5: Solve for x
    x = 652,012,651.51/37,794
  6. Step 6: Final answer
    x = 17,251.75

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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.