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Finding the Fourth Proportional to 7,686.81, 11,528.37 and 3,524.22

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Solution

The fourth proportional to 7,686.81, 11,528.37 and 3,524.22 is: 5,285.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.81 : 11,528.37 = 3,524.22 : x
  2. Step 2: Convert to fraction form
    7,686.81/11,528.37 = 3,524.22/x
  3. Step 3: Cross multiply
    7,686.81x = 11,528.37 × 3,524.22
  4. Step 4: Simplify right side
    7,686.81x = 40,628,512.12
  5. Step 5: Solve for x
    x = 40,628,512.12/7,686.81
  6. Step 6: Final answer
    x = 5,285.48

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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.