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Finding the Fourth Proportional to 7,832.52, 10,808.91 and 4,296.06

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Solution

The fourth proportional to 7,832.52, 10,808.91 and 4,296.06 is: 5,928.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.52 : 10,808.91 = 4,296.06 : x
  2. Step 2: Convert to fraction form
    7,832.52/10,808.91 = 4,296.06/x
  3. Step 3: Cross multiply
    7,832.52x = 10,808.91 × 4,296.06
  4. Step 4: Simplify right side
    7,832.52x = 46,435,725.89
  5. Step 5: Solve for x
    x = 46,435,725.89/7,832.52
  6. Step 6: Final answer
    x = 5,928.58

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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.