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Finding the Fourth Proportional to 7,642.26, 10,544.72 and 4,993.56

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Solution

The fourth proportional to 7,642.26, 10,544.72 and 4,993.56 is: 6,890.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.26 : 10,544.72 = 4,993.56 : x
  2. Step 2: Convert to fraction form
    7,642.26/10,544.72 = 4,993.56/x
  3. Step 3: Cross multiply
    7,642.26x = 10,544.72 × 4,993.56
  4. Step 4: Simplify right side
    7,642.26x = 52,655,667.04
  5. Step 5: Solve for x
    x = 52,655,667.04/7,642.26
  6. Step 6: Final answer
    x = 6,890.06

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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.