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Finding the Fourth Proportional to 10,832.59, 16,254.04 and 7,505.97

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Solution

The fourth proportional to 10,832.59, 16,254.04 and 7,505.97 is: 11,262.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832.59 : 16,254.04 = 7,505.97 : x
  2. Step 2: Convert to fraction form
    10,832.59/16,254.04 = 7,505.97/x
  3. Step 3: Cross multiply
    10,832.59x = 16,254.04 × 7,505.97
  4. Step 4: Simplify right side
    10,832.59x = 122,002,292.09
  5. Step 5: Solve for x
    x = 122,002,292.09/10,832.59
  6. Step 6: Final answer
    x = 11,262.53

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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.