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Finding the Fourth Proportional to 7,708.36, 11,562.54 and 3,808.84

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Solution

The fourth proportional to 7,708.36, 11,562.54 and 3,808.84 is: 5,713.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.36 : 11,562.54 = 3,808.84 : x
  2. Step 2: Convert to fraction form
    7,708.36/11,562.54 = 3,808.84/x
  3. Step 3: Cross multiply
    7,708.36x = 11,562.54 × 3,808.84
  4. Step 4: Simplify right side
    7,708.36x = 44,039,864.85
  5. Step 5: Solve for x
    x = 44,039,864.85/7,708.36
  6. Step 6: Final answer
    x = 5,713.26

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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.