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Finding the Fourth Proportional to 37,697.50, 56,525.75 and 11,398.83

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Solution

The fourth proportional to 37,697.50, 56,525.75 and 11,398.83 is: 17,092.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,697.50 : 56,525.75 = 11,398.83 : x
  2. Step 2: Convert to fraction form
    37,697.50/56,525.75 = 11,398.83/x
  3. Step 3: Cross multiply
    37,697.50x = 56,525.75 × 11,398.83
  4. Step 4: Simplify right side
    37,697.50x = 644,327,188.65
  5. Step 5: Solve for x
    x = 644,327,188.65/37,697.50
  6. Step 6: Final answer
    x = 17,092.04

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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.