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Finding the Fourth Proportional to 7,832.37, 11,748.41 and 1,909.28

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Solution

The fourth proportional to 7,832.37, 11,748.41 and 1,909.28 is: 2,863.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.37 : 11,748.41 = 1,909.28 : x
  2. Step 2: Convert to fraction form
    7,832.37/11,748.41 = 1,909.28/x
  3. Step 3: Cross multiply
    7,832.37x = 11,748.41 × 1,909.28
  4. Step 4: Simplify right side
    7,832.37x = 22,431,024.07
  5. Step 5: Solve for x
    x = 22,431,024.07/7,832.37
  6. Step 6: Final answer
    x = 2,863.89

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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.