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Finding the Fourth Proportional to 7,175.16, 10,762.44 and 2,496.23

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Solution

The fourth proportional to 7,175.16, 10,762.44 and 2,496.23 is: 3,744.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.16 : 10,762.44 = 2,496.23 : x
  2. Step 2: Convert to fraction form
    7,175.16/10,762.44 = 2,496.23/x
  3. Step 3: Cross multiply
    7,175.16x = 10,762.44 × 2,496.23
  4. Step 4: Simplify right side
    7,175.16x = 26,865,471.79
  5. Step 5: Solve for x
    x = 26,865,471.79/7,175.16
  6. Step 6: Final answer
    x = 3,744.23

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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.