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Finding the Fourth Proportional to 7,643.40, 11,462.75 and 5,286.63

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Solution

The fourth proportional to 7,643.40, 11,462.75 and 5,286.63 is: 7,928.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.40 : 11,462.75 = 5,286.63 : x
  2. Step 2: Convert to fraction form
    7,643.40/11,462.75 = 5,286.63/x
  3. Step 3: Cross multiply
    7,643.40x = 11,462.75 × 5,286.63
  4. Step 4: Simplify right side
    7,643.40x = 60,599,318.03
  5. Step 5: Solve for x
    x = 60,599,318.03/7,643.40
  6. Step 6: Final answer
    x = 7,928.32

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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.