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Finding the Fourth Proportional to 7,563.66, 10,438.52 and 5,170.92

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Solution

The fourth proportional to 7,563.66, 10,438.52 and 5,170.92 is: 7,136.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563.66 : 10,438.52 = 5,170.92 : x
  2. Step 2: Convert to fraction form
    7,563.66/10,438.52 = 5,170.92/x
  3. Step 3: Cross multiply
    7,563.66x = 10,438.52 × 5,170.92
  4. Step 4: Simplify right side
    7,563.66x = 53,976,725.98
  5. Step 5: Solve for x
    x = 53,976,725.98/7,563.66
  6. Step 6: Final answer
    x = 7,136.32

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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.