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Finding the Fourth Proportional to 7,832.61, 10,808.97 and 4,296.05

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Solution

The fourth proportional to 7,832.61, 10,808.97 and 4,296.05 is: 5,928.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.61 : 10,808.97 = 4,296.05 : x
  2. Step 2: Convert to fraction form
    7,832.61/10,808.97 = 4,296.05/x
  3. Step 3: Cross multiply
    7,832.61x = 10,808.97 × 4,296.05
  4. Step 4: Simplify right side
    7,832.61x = 46,435,821.52
  5. Step 5: Solve for x
    x = 46,435,821.52/7,832.61
  6. Step 6: Final answer
    x = 5,928.52

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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.