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Finding the Fourth Proportional to 7,633.49, 10,528.84 and 6,496.25

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Solution

The fourth proportional to 7,633.49, 10,528.84 and 6,496.25 is: 8,960.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.49 : 10,528.84 = 6,496.25 : x
  2. Step 2: Convert to fraction form
    7,633.49/10,528.84 = 6,496.25/x
  3. Step 3: Cross multiply
    7,633.49x = 10,528.84 × 6,496.25
  4. Step 4: Simplify right side
    7,633.49x = 68,397,986.93
  5. Step 5: Solve for x
    x = 68,397,986.93/7,633.49
  6. Step 6: Final answer
    x = 8,960.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.