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Finding the Fourth Proportional to 7,836.96, 11,757.06 and 3,454.32

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Solution

The fourth proportional to 7,836.96, 11,757.06 and 3,454.32 is: 5,182.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.96 : 11,757.06 = 3,454.32 : x
  2. Step 2: Convert to fraction form
    7,836.96/11,757.06 = 3,454.32/x
  3. Step 3: Cross multiply
    7,836.96x = 11,757.06 × 3,454.32
  4. Step 4: Simplify right side
    7,836.96x = 40,612,647.50
  5. Step 5: Solve for x
    x = 40,612,647.50/7,836.96
  6. Step 6: Final answer
    x = 5,182.19

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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.