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Finding the Fourth Proportional to 7,832.93, 11,752.03 and 2,902.97

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Solution

The fourth proportional to 7,832.93, 11,752.03 and 2,902.97 is: 4,355.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.93 : 11,752.03 = 2,902.97 : x
  2. Step 2: Convert to fraction form
    7,832.93/11,752.03 = 2,902.97/x
  3. Step 3: Cross multiply
    7,832.93x = 11,752.03 × 2,902.97
  4. Step 4: Simplify right side
    7,832.93x = 34,115,731.77
  5. Step 5: Solve for x
    x = 34,115,731.77/7,832.93
  6. Step 6: Final answer
    x = 4,355.42

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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.