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Finding the Fourth Proportional to 7,544.75, 10,412.06 and 5,022.81

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Solution

The fourth proportional to 7,544.75, 10,412.06 and 5,022.81 is: 6,931.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544.75 : 10,412.06 = 5,022.81 : x
  2. Step 2: Convert to fraction form
    7,544.75/10,412.06 = 5,022.81/x
  3. Step 3: Cross multiply
    7,544.75x = 10,412.06 × 5,022.81
  4. Step 4: Simplify right side
    7,544.75x = 52,297,773.97
  5. Step 5: Solve for x
    x = 52,297,773.97/7,544.75
  6. Step 6: Final answer
    x = 6,931.68

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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.