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Finding the Fourth Proportional to 7,902.56, 11,853.84 and 2,708.48

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Solution

The fourth proportional to 7,902.56, 11,853.84 and 2,708.48 is: 4,062.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.56 : 11,853.84 = 2,708.48 : x
  2. Step 2: Convert to fraction form
    7,902.56/11,853.84 = 2,708.48/x
  3. Step 3: Cross multiply
    7,902.56x = 11,853.84 × 2,708.48
  4. Step 4: Simplify right side
    7,902.56x = 32,105,888.56
  5. Step 5: Solve for x
    x = 32,105,888.56/7,902.56
  6. Step 6: Final answer
    x = 4,062.72

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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.