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Finding the Fourth Proportional to 7,832.82, 10,809.54 and 4,296.30

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Solution

The fourth proportional to 7,832.82, 10,809.54 and 4,296.30 is: 5,929.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.82 : 10,809.54 = 4,296.30 : x
  2. Step 2: Convert to fraction form
    7,832.82/10,809.54 = 4,296.30/x
  3. Step 3: Cross multiply
    7,832.82x = 10,809.54 × 4,296.30
  4. Step 4: Simplify right side
    7,832.82x = 46,441,026.70
  5. Step 5: Solve for x
    x = 46,441,026.70/7,832.82
  6. Step 6: Final answer
    x = 5,929.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.