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Finding the Fourth Proportional to 7,886.79, 11,832.46 and 2,549.85

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Solution

The fourth proportional to 7,886.79, 11,832.46 and 2,549.85 is: 3,825.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.79 : 11,832.46 = 2,549.85 : x
  2. Step 2: Convert to fraction form
    7,886.79/11,832.46 = 2,549.85/x
  3. Step 3: Cross multiply
    7,886.79x = 11,832.46 × 2,549.85
  4. Step 4: Simplify right side
    7,886.79x = 30,170,991.76
  5. Step 5: Solve for x
    x = 30,170,991.76/7,886.79
  6. Step 6: Final answer
    x = 3,825.51

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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.